diff --git "a/data/dm_maths/full_data_2/10915_11255.jsonl" "b/data/dm_maths/full_data_2/10915_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10915_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the remainder when 94203 is divided by 180?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -46*f + 32. Let d(g) = 21*g - 10. What is -7*d(y) - 2*v(y)?\nAnswer: -55*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 3, 68, 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -229 + 232. Let k be (27\/6)\/c*2. Solve -t = -k*w - 20 + 4, 5*w + 28 = 2*t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/5)\/((-2)\/3820). Let b = -244 - l. Let j = 1019\/2 - b. Find the common denominator of j and 77\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**2 + 15*i = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4)*7 - 2. Let n(y) = 2*y**2 - 59*y + 139. Let i be n(27). Which is the biggest value? (a) i (b) x (c) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 2*v + 17. Let f(r) = -r**3 - 4*r**2 - r - 4. Let k be f(-4). Does 5 divide p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 99\/21 - 1\/7*-2. Let r = 3 + -1. Which is greater: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.9 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-6) - -2*1. Let p = 10 + -7. What is the highest common divisor of p and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 25627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 15, 26, 39?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (910\/56 + -17)*4\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 15413067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 182*o**5 - 426*o**4 + 6*o**2 + 111071597*o wrt o?\nAnswer: 3640*o**3 - 5112*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 9*g + 10. Let t(y) = y**3 + 36*y**2 + 30*y - 76. Let o be t(-35). Suppose 7*f = -4*f + o. Determine r(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6751883 (base 10) to base 3\nAnswer: 110201000211202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 11, m: 2}. What is prob of picking 1 m and 1 p?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 3*t + 7. Let g be d(5). What are the prime factors of (-224)\/(-12) - 1\/g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.347 rounded to 2 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 4*g - 5. Let n be s(-4). Let p(l) = 9*l**3 - 2*l**2 + l. Let h be p(1). Let z = n + h. Solve 0 = -z*b - 4*r - 11, -3*r = -2*b + 7*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 539 and 122671318.\nAnswer: 858699226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10381977?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2646, -2591, -2536, -2481, -2426, -2371?\n\"Answer: 55*o - 2701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (-1*sqrt(208))**2*3 + sqrt(13) + sqrt(52) + 3 + 2.\nAnswer: 3*sqrt(13) + 629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 620064221?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*g + 74 - 564, -g + 98 = -2*h. Let c = 110 - g. Suppose -16*u + 744 = -c*u. What are the prime factors of u?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-576)\/32 - -13)*-6.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2 = 11, -6 = -2*o + 4*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 32973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 2. Suppose 3*l - 212 = 4*x, -384 = -2*l - f*l - x. Suppose -4*t = -a + 43, 4*t + 82 = -3*a + 5*a. Calculate the remainder when l is divided by a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 7 - 15. Let k = -0.4 - -0.3. Let v = 0.35 - -0.05. Which is the smallest value? (a) w (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 426 - 34. Suppose -256 - y = -8*f. Calculate the lowest common multiple of f and 27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 26584976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i + 25 = 36*i. Solve -i = 5*j + 3*v - 6, -2*j = v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0 (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z + 1. Let j be o(-4). Let w = j + -17. Suppose -2*v + 20 = -c - 128, -w*v - 2*c + 304 = 0. Is v a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 17 (c) 0.14 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 202*x**2 - 69*x**2 + 426*x**3 - 108*x**2 to the form w*x**3 + q*x**2 + u + l*x and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912*v**2 - 5438*v + 10873*v - 5435*v.\nAnswer: 912*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 0 + 23*i**2 + 1\/30*i**5 + 8\/3*i**4 - 2*i + 85\/6*i**3. What is the derivative of h(u) wrt u?\nAnswer: 4*u + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/208 and ((-177)\/1300)\/(32\/40) - (-6)\/(-30).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Let w(v) = v + 1. Let i be w(p). Suppose -10*y = -i*y - 21. Is 2 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2526490 is divided by 315733?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12 + -0.22. Put -4, w, -2 in decreasing order.\nAnswer: w, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5205?\nAnswer: 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*w + 0*w = 96, 2*w - 48 = -j. Suppose 4*y - 3*y = 85. Let q = y - 60. Calculate the remainder when j is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -409.457 + -4\nAnswer: -413.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 83272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 2 + 0*c + 2\/9*c**3 - 2\/45*c**5 - 2\/9*c**2 + 0*c**4. Factor k(l).\nAnswer: -2*l*(l - 1)**2*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 504 + -570.024. Let b = f + 66. Let t = b + 1.024. What is the closest to -7 in 6\/7, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 - 15 - 26) + -29.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - l + 63 = -5*v, 4*l = v + 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000004258 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226 by -2.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/7*4\/10. Let o = 0.3 + 0.02. Let w = -0.18 - o. Sort w, 1\/7, x in increasing order.\nAnswer: w, 1\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48130 by 159.\nAnswer: 48130\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 20345.17692 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 8 = -4*o. Let l = o + 7. Let k(s) = 2*s + 3*s - 6*s. Give k(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*f**6 - 34*f**4 - 310*f**2?\nAnswer: 720*f**3 - 816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 127314740 and 18760?\nAnswer: 254629480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 30482572?\nAnswer: -30482574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cssscscccccscxccs. Give prob of sequence cc.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 - -0.03. Let d = z - 0.11. Which is the closest to d? (a) 3\/7 (b) -0.02 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3452*m - 3454*m + 3, t + 15 = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203*i**6 - 243*i**2 wrt i.\nAnswer: 24360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-22)\/(-8))\/(-11))\/((-8)\/4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + 30. Let k(j) = p*j + 11 + 36*j - j**2 - 71*j. Is 11 a factor of k(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-516)\/12*-2*1\/20*10.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - j. Let t(c) = -c**3 + 2*c**2 + 8*c - 8. Let o(f) = -6*h(f) - t(f). Let p be (16\/(-12))\/(1\/(-30)). Suppose 0 = -2*b + 7*b - p. Give o(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/7 + 2 + 0. Which is the smallest value? (a) 1\/4 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 = -3*f + 938. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76320 (base 8) to base 2\nAnswer: -111110011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -395 by -5.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (1 - (3 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 6*o - 6. Let b be (-3)\/3 + -5 + (0 - 0). Let f(l) = -l**2 - 5*l + 5. What is b*f(x) - 5*c(x)?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**0\/q)\/q)**(-38))**(1\/42)\/((q**(-2))**(-1\/60))**(1\/51) assuming q is positive.\nAnswer: q**(19373\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from uumutmuuutuuttmu?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 12. Solve -10*z**5 + 14*z**5 - m*z**5 + 2*z**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.191 and 0.48.\nAnswer: 0.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95 and 1045?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -556 - -572. Solve 4*t + 48 = x*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 40*d - 12. Let h(z) = -39*z + 8. Calculate 2*g(o) + 3*h(o).\nAnswer: -37*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Let c(m) = m - 1. Let y(s) = c(s) - 5*v(s). Let p be y(-1). Find the second derivative of b**3 - b**p + 0*b**4 - 3*b**4 - 2*b wrt b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3 - 22*i**2\/5 + 4*i\/5 = 0. Calculate i.\nAnswer: 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 155138 < 153031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 + f**3 - 2*f**3 + (2*f**2 + 4*f - 4*f)*(-f + 2*f - 3*f) - 212*f + f**3 + 212*f + 31.\nAnswer: -f**3 + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.5 (c) -21 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -725*c + 4. Let r(t) = 724*t - 6. What is -3*r(k) - 4*v(k)?\nAnswer: 728*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**5\/11 - 2432*q**4\/11 + 119018*q**3\/11 + 374048*q**2\/11 + 252600*q\/11 = 0.\nAnswer: -1263, -2, -1, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3281597733 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0\/s)**25\/(s**(-9)\/s*s**(6\/5)) assuming s is positive.\nAnswer: s**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78*p**5 - 42902*p**4 + 2*p**3 + 15302223*p**2 wrt p?\nAnswer: -4680*p**2 - 1029648*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125887.9713532 - -125888. Let s = h + -0.1286473. Let l = 0.1 + s. What is l rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12176269*o**3 - 12776119?\nAnswer: 36528807*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -91. Suppose -535 = -i*l + 17*l. What is the remainder when l is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -709*r + 703*r - 36 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0484 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -2.49782.\nAnswer: -0.249782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1055.6 + -1055.9. What is the third smallest value in 2\/13, h, 1\/38, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 47, -69383 in descending order.\nAnswer: 47, 2, -69383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 = 4*l, -3*m - 6*l = -9*l - 3. Let q = 306\/5 - 61. Which is the closest to -1? (a) m (b) q (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = -3*l - 45, -l + 10*l - 15 = 3*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -211*x**4\/2 + 2*x**3\/3 + 1693*x**2\/2 - 471. What is the second derivative of q(c) wrt c?\nAnswer: -2532*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in sixty-four fifths of a meter?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 404671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3046282989 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 1\/3, -479 in decreasing order.\nAnswer: 1\/3, -2, -6, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 42, -6, -2 in decreasing order.\nAnswer: 42, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t. Let u(r) = -13*r + 26. Let j(p) = 1. Let b(x) = -26*j(x) + u(x). Let g(q) = -52*q. Let h(o) = -13*b(o) + 3*g(o). Give h(w(a)).\nAnswer: -39*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b*f*g**2*q - 2*b*f*g**2 + b*f*g*q - 2*b*f*q - b*g*q - f*g**2 - f*g*q - f*q + 3*g**2 wrt g?\nAnswer: -10*b*f*q - 4*b*f - 2*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11124212 (base 7) to base 10.\nAnswer: -964280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (182\/(-39) + 6)\/(-1 + 149\/147). What is the highest common divisor of 322 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -435\/731 - -18\/43. What is the nearest to 1 in 0.1, x, 2\/3, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4945554782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 424242340*s**5 + 93323438*s**2?\nAnswer: 25454540400*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -63*d - 1799. Let v be w(-140). Calculate the highest common divisor of 59 and v.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w + 42. Let m be y(-20). Suppose -z - 3*z = -m*h - 18, 2*z = 4*h + 12. Solve 2*d + 2*d + 3*g = 16, -z = -g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2448) - ((sqrt(2448) - (0 + sqrt(2448))) + 3)) + sqrt(2448) + sqrt(2448)*2*6 + -4 + sqrt(2448) + (sqrt(2448) - sqrt(2448)*3) + -2 + 5)**2.\nAnswer: 312*sqrt(17) + 413713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 35*(4 - ((-144)\/(-40) + 0))*(-15)\/165\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4526342949 rounded to four dps?\nAnswer: 0.4526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -16. Let x(c) = c - 3. Let p be x(y). Suppose -p*m + 8 = 2*m. Is m less than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8*v**2 + 323*v + 1600. Give h(45).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 5, -929561.\nAnswer: -929561, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**3 - m + 7. Is f(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 + -69. Suppose -o + 14 = -2*j. What is the highest common divisor of 68 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411*w = -598562 - 595213 - 222120. What is the remainder when 3450 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-6)*108\/(-1608). Is i greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -n - 1. Let g(o) = -o**2 + o. Let c be g(-1). Calculate the smallest common multiple of n and 5 + 0\/(-1) + c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -260, -254, -242, -218, -176, -110?\n\"Answer: q**3 - 3*q**2 + 8*q - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1702834286?\nAnswer: 2, 1697, 501719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-35 + 11)) + -36.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -38*q + 3. Let f(u) = 113*u - 8. Let d = 6943 + -6947. Give d*f(z) - 11*m(z).\nAnswer: -34*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108479361 to the nearest integer?\nAnswer: 10415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 30 + (-75 - -76 - (-5 - -1))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/3 (b) -2\/3 (c) -9609\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 68600 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**5\/5 + 112*y**4\/5 - 104*y**3\/5 - 112*y**2\/5 + 108*y\/5 = 0.\nAnswer: -1, 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/1096 and 43\/56?\nAnswer: 7672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*q**3 - 2802*f**3*q**2 - f**3 + 4*f**2*q**3 + 47*f**2*q**2 + 71*f*q wrt f?\nAnswer: 6*q**3 - 16812*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2701, -5408, -8115, -10822?\nAnswer: -13529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*p - 3*p + 280. Factor 16*n - 12*n**3 - 30*n**5 + 54*n**5 - 5*n**2 + p*n**4 - 26*n**5 - 3*n**2.\nAnswer: -2*n*(n - 2)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 1, n: 1, q: 1, i: 2}. Give prob of sequence xxd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 107 - 313*b**4 + 315*b**4 + 109 - 216 - 2*b**3 - 50*b - 9*b**2 as c*b**2 + d + v*b**3 + n*b + z*b**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/9)\/w)\/(w**(-16)\/w))\/((w*w**(-1))\/((w*w**(4\/13))\/w)) assuming w is positive.\nAnswer: w**(1856\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 2) + (-3248)\/(-192).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**6\/120 - 7*o**5\/60 + o**4\/4 + 11*o**3\/6 - 4*o**2. Is p(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -162, -235, -302, -363?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 116, -3\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97.59 + -47.59. Put u, 0.58, -4 in ascending order.\nAnswer: -4, 0.58, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3120, -3126, -3128, -3120, -3096, -3050?\n\"Answer: u**3 - 4*u**2 - u - 3116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39711 and 527?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g + 6 = 0. Let j(p) = 3*p - 6. Let v be j(g). Suppose -2*i - 5*t = -21, 3*t - 21 = -2*i - 2*i. Calculate the greatest common divisor of i and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away 592?\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -5*m - 36*m - 296 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 48?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b + m - 1, 4*m - 4 = -2*b. Suppose b = -3*v + 363 - 12. Suppose -v = -3*c + 24. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 216416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -7*z + 3*g, 0*g - g + 250779 = 3*z + 250766 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 139, -191, 0.2, -7\/10?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 17188*a + 1169552.\nAnswer: -4*(a - 67)*(a + 4364)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-12)*h\/h**(-21)*(h\/(h*h**(-4)))\/(h\/(h\/(h*((h\/h**(-3\/2))\/h)\/h))) assuming h is positive.\nAnswer: h**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76389?\nAnswer: 3, 25463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 483281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3300 (base 4) to base 10\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.46 minus -93.6?\nAnswer: 103.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -10*a**2 - 5*a + 307 - 287 + 5*a**3 - 7*a**2 - 3*a**2 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -142120 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -201 - -205. Let l be x\/14 - (-3520)\/224. Solve -5*h - 2*b - 19 = 0, l = -4*h + b - 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.36 + 0.06. Let j(q) = q**3 + 7*q**2 - 10*q - 15. Let p be j(-8). Which is the nearest to p? (a) 0 (b) n (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/32 and 31\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2805*z**3 - 2*z**2 + 35*z - 33. What is the remainder when x(1) is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 96*t - 99*t - 1509, 2*t = -10. Is b at least 496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 - (-53)\/14) + 0 and ((-3)\/(-15))\/(8\/1340)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326895, 1307571, 2942031, 5230275, 8172303, 11768115, 16017711?\nAnswer: 20921091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -2 + 6 + 2 + -13 + -17\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 1 - u + 2 in the form b + a*u and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -6. Let d(p) = 2*p**5 - 4*p**4 + 8*p**3 + 6*p**2 - 6*p. Let l(x) = x**3 + x**2 - x. Let k(t) = o*d(t) + 6*l(t). Factor k(f).\nAnswer: -2*f**3*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 2*z - 42. What is u(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2) + 105\/20*30. What is the first derivative of l - 9 + 125 - 34 - 23 - 19*t**4 wrt t?\nAnswer: -76*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o + 1. Let f(q) = -3*q - 2. Let z be (-76)\/(-18) + 3 + 29\/(-9). Give z*h(r) + 3*f(r).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4694581 and 3233?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -507*t**3\/8 - 8697*t**2\/4 - 41265*t\/2 - 33075.\nAnswer: -3*(t + 2)*(13*t + 210)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 14 = 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d. Let m(t) be the third derivative of t**5\/60 - 1001*t**4\/12 - t**2 + 684. Give m(c(u)).\nAnswer: 16*u**2 - 8008*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2044*z - 504*z - 336642 + 71650 = 0 for z.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 824*d**3 + 170565*d**2 + 337842*d.\nAnswer: d*(d + 2)*(d + 411)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.057 to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 4*y**2 + y - 1. Suppose -l = 1 + 1. Let x be p(l). Suppose -x*i = -3*u + 11 + 28, -33 = -3*u + 3*i. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 897 and 312.\nAnswer: 7176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5899*j - 9333. Let x(k) = -35399*k + 56002. Let y(p) = 19*b(p) + 3*x(p). Find the first derivative of y(r) wrt r.\nAnswer: 5884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5401821*l**3 + 58338*l**2. Let x(y) = -2778*y**3 - 30*y**2. Determine 5*s(t) + 9723*x(t).\nAnswer: -1389*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 390151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w - 44. Let p(u) = -u - 6. Let f(j) = i(j) - 8*p(j). Determine f(13).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6*x - 5*o - 13 = 0, -x = 4*o + 32. Suppose -b + 2*b = 3*l, -b - 10 = -5*l. Let z = b + x. Solve 0 = d - z*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - m + 8 = 0. Let k be (3\/(-798))\/((-1)\/m). Let i = k + 401\/266. Which is bigger: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 39457.7?\nAnswer: 2367.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10138218023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/12 - 7*c**3\/6 - 5*c**2 + c. Let m be o(-5). Let g(j) = j**2 + 6*j + 7. Let b be g(-5). Solve v - b + 1 = m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y + 2. Let o = -1646 - -1641. Let u(j) = -10*j + 4. Give o*r(l) + 2*u(l).\nAnswer: 5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + u**4 - u**2 + 0*u**3 - 2*u**4 + 0*u**3 + (u**2 - u**2 + 3*u**2)*(-1 + u**2 + 1) - u**4 + 2*u**4 + 0*u**4 + 3*u - 3*u - 2*u**4.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 902816.6nm in kilometers?\nAnswer: 0.0000009028166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -565*r - 2374. What is a(-3)?\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.2 + 35. Let n = -1327 - -1328. Sort n, -5\/16, f, 5 in decreasing order.\nAnswer: 5, n, f, -5\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 8*w**2 - 238*w - 45. What is j(20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*i + 7. Let a be i*3*(-2)\/4. Let q = -0.8 + 1. Put a, q, -5 in decreasing order.\nAnswer: q, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 319*u**4 + 433 wrt u.\nAnswer: 1276*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -593.4, 0.5, 266, -2, -8 in descending order.\nAnswer: 266, 0.5, 0, -2, -8, -593.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 19*o**2 - 15*o - 18. Let w(z) = -16*z**2 + 14*z + 18. Let d(r) = 5*g(r) + 6*w(r). Calculate d(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - -0.5. Let q be (4\/64*4)\/((-22)\/(-16)). Which is the closest to u? (a) -4\/5 (b) -1\/9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w - 616 = 812. Let r be w\/(-48)*2 - 1\/4. Let q(s) = 4*s**3 + 3*s**2 + 3*s + 1. Calculate q(r).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 394 - 389. What is the second smallest value in 5\/52, 0, x, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and (10\/6 - 1)\/(((-2912)\/3264)\/(-91))?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r - 9 = 4*o, -4*o + r - 15 = 0. Is 2 + -2 + (-993)\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 - 3*u**3 + 3*u**3 + (23 + 10 - 9)*(172 - 2*u**4 + 0*u**4 - 2*u**2 - 196).\nAnswer: -46*u**4 - 48*u**2 - 576","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 33101010110?\nAnswer: -33101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 4, -4, 211208, 3 in descending order.\nAnswer: 211208, 4, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10136 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39080\/(-7816)*(-31)\/10.\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + l. Let q be m(-2). Suppose -b - 4 = -3*w, 6 = q*w - b + 2. Suppose w = s - 3 - 0. Solve -n + 20 = s*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**2*m)\/(m**(-1\/3)*m)*(m\/(m*m**(2\/3)*m*m*m))**20)**(2\/35) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4 = 4*b, 1198*b + 59 = -11*h + 1199*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - 5*f**2 - 2*f**2 + 26*f. Let t be u(7). What is the second derivative of -t*s + 5 + 4*s**2 - 13*s**2 - 5 wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 8:53 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o + 2. Suppose o*c - 2*c = 8. Solve 0*a - a = -c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.159439mg to micrograms.\nAnswer: 9159.439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in minutes?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7698776?\nAnswer: 2, 683, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 1. Let c(o) = -478*o + 956. What is c(k) + 956*d(k)?\nAnswer: 478*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = -t + 37, 0 = -5*r - 5*t + 2854 - 2809 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**2)**(-36)\/(((q*q**(-2\/5))\/q)\/q**3)*(q**(-1\/2))**(-11)*q**(1\/3)\/(q*q\/q**2) assuming q is positive.\nAnswer: q**(1357\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven eighths of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -849*o + 227*o - 119*o - 9375 + 9375.\nAnswer: -741*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 4*v. Let r be d(4). Let h be (1\/((-2)\/(-10)))\/1. Let q be (h - 1)*1\/2. Solve r = -q*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/(-480))\/((-51)\/(-90)*-4).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/5 - 5*v**3 - 189*v**2\/5 - 243*v\/5 + 1458\/5 = 0. What is v?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9456510, -18913019, -28369530, -37826043, -47282558, -56739075?\n\"Answer: -o**2 - 9456506*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*r - 2805 = 63*r. Is r a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 3*j - 2. Let t = 6 + -2. Let q be t\/14 - 214\/14. Let a be (18\/q)\/((-4)\/10). Give u(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzqzqzzqqzqqqzqzq. Give prob of picking 1 z and 1 q.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2, 0.1, 2.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((0 - (3 + -7)) + -5 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3087*w - 3070*w - 31 = 326 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (6 + 59\/(-7)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/12 - 4*g**3\/3 + 7*g**2\/2 - 9*g. Let z(w) = -w + 1. What is f(n) - 6*z(n)?\nAnswer: -n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*p = 192*p - 1449 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -15.6. Let s = l + -4. Put -0.5, 2, s in decreasing order.\nAnswer: 2, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5150 + 10972. Suppose s + 8783 = 17*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 15 = -3*k. Let m(x) = 5*x - 1. Suppose 7 = -5*p - 3*r, -3*r - 17 = -p + r. Let q be m(p). Sort k, -5, q in ascending order.\nAnswer: -5, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 65464*l**4 + 16 - 3*l - 15*l**2 + 17*l**2 + 65455*l**4 to g*l**2 + q*l + k + h*l**4 + p*l**3 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q = 8. Suppose q = -5*g + 19. Factor -5*i**4 + i**2 - 12*i**3 + 4*i**5 + i**4 + 8*i + g*i**2.\nAnswer: 4*i*(i - 2)*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/(-13*4\/(-16)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5136368.\nAnswer: 2, 89, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-18) - 79\/9. Let z(d) = d**3 + 8*d**2 - 10*d - 7. Let v be z(y). Let c be (2\/11)\/(v\/(-3)). What is the smallest value in c, 0, -1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = 9*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 64102087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*z - 78*z = -51536. List the prime factors of z.\nAnswer: 2, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 10*i**2. Let u(h) = -11*h**2. Let p(q) = 6*a(q) + 5*u(q). Suppose 2*y + 3 - 1 = 2*b, -2*y - 2*b = -2. Let g(n) = 2*n + y + 0. Give p(g(v)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -5.8. Let s = 2.2 - h. Let k = 19 + s. Which is the nearest to k? (a) 1 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -1\/420*s**7 + 0*s**4 + 4*s**2 - 1\/12*s**3 + 0*s + 1\/60*s**5 + 0*s**6 + 0. Find t such that v(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (725\/(-174))\/((-30)\/(-4))*135.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/42 and 37\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**3 + x**2 + x + 313. Let r(o) = o**2 - o. Give 7*r(p) + 3*z(p).\nAnswer: -2*p**2 - p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/28*(-65860)\/555 + 6\/14.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z\/(z*z*z**(-3\/2)))))**41 assuming z is positive.\nAnswer: z**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14231792, 14231791, 14231790, 14231789, 14231788, 14231787?\nAnswer: 14231786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**3 + 24164*w**2 - 24176*w - 48336 = 0.\nAnswer: -6042, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199 + -195. Let i = 1 + -1. What is the nearest to i in u, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1462 + 6424.6. Round d to the nearest 100.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 434\/5 - 86. Sort l, 1\/3, -1\/4.\nAnswer: -1\/4, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1317, 2640, 3969, 5304, 6645, 7992, 9345?\nAnswer: 10704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o - 180. Let i be k(19). Suppose -5*j - 49*t = -i*t - 11, 3*t = -j + 5. What is q in 22\/3*q**3 - 8*q**2 - j*q**4 + 0 + 8\/3*q = 0?\nAnswer: 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -2\/7, -3, -751, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4337171 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -46. Does -7\/5 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -4, 0.762, -1686, 1\/4.\nAnswer: -1686, -4, -2\/3, 1\/4, 0.762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 6, -2514, -0.3, -0.19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28\/5*r**2 - 4\/5*r**4 + 32\/5 - 36\/5*r**3 + 36\/5*r = 0. What is r?\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -788 (base 10) to base 16.\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 5*s**3\/3 + 36. Let w(t) = 5160 - 5160 - 4*t**2. Give y(w(z)).\nAnswer: 80*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33582 or -33696?\nAnswer: -33696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3999a6 (base 16) in base 6?\nAnswer: -212524154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 3*s + 641. Determine d(30).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 542 - 509. What is the remainder when 131 is divided by r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -44*f + 2 + 90*f - 1 - 51*f. Let i(x) = 2*x. Calculate i(b(s)).\nAnswer: -10*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5686, -65 in increasing order.\nAnswer: -65, -2, 5686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**4\/4 - 3*r**3 - 15*r**2\/2 + 3*r + 269. Let l(k) = k. Let f(h) = 3*l(h) + x(h). What is f(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 1\/2 (c) -2\/5 (d) 3\/7 (e) -6746\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26, 353, 984, 1867, 3002, 4389, 6028?\n\"Answer: 126*s**2 + s - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68154677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-142443)\/190)\/(-147)*(-3)\/((-27)\/(-2))).\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**2 - 18*h + 104. Calculate c(0).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-10))\/(1\/(-95)). Determine v so that -340 - v**4 - 14*v**3 + 768*v + a*v**3 - 208*v**2 - 684 = 0.\nAnswer: 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -9*u + 1. Calculate x(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-378)\/4)\/(((-60)\/48)\/(365\/438)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 1. Let m(h) = -8*h**3 - 13*h**2 - 6. Calculate -6*b(j) - m(j).\nAnswer: 2*j**3 + 13*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57, 56, 55?\n\"Answer: -h + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12430 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - y**2 - 44*y**3 - 56*y**3.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*k - 5*k**3 - 81\/4 - 1\/4*k**4 - 59\/2*k**2.\nAnswer: -(k + 1)**2*(k + 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75689 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u - 62 + 62.\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 + 63. Let p be (21\/(-9) + 3)\/((-2)\/h). Solve 0 - 4 = p*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2141, 8533, 19169, 34043, 53149, 76481?\n\"Answer: -b**3 + 2128*b**2 + 15*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 s when four letters picked without replacement from {j: 3, s: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1869898 and 774.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92770114*i**3 - 763*i**2 + 133*i + 10.\nAnswer: -556620684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 18*j**6\/5 - 27*j**5\/10 - 15*j**4\/4 - 17*j**3\/12 - j**2\/4 + 4*j. Find c, given that p(c) = 0.\nAnswer: -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 38 and -356964972?\nAnswer: 356965010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-6) - 2\/(-6). Let w(y) = 3*y**2 - 4*y - 8. Does 12 divide w(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1187 - -596.8813. Let s = 596.999999667 - i. What is s rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 228613\/26 + -8789. Calculate the common denominator of 3\/325 and s.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -966 divided by 21?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trfhr. What is prob of sequence frh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by 21\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m - 159*m**2 + m**3 - 4 + 9 - 3 + 161*m**2. Give l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + v**3 + 45*v**2 + 12*v - 19 - 11*v - v**3 + 2*v**3 as q*v + k + i*v**3 + h*v**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - ((-17 - (-13 + 8)) + 17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(19)*1 + -1)*3)**2.\nAnswer: -54*sqrt(19) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16798462 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 115934 = -107208 + 35227. What is the highest common divisor of 49 and u?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 96363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/(-4))\/((-2)\/8). Let t(q) = -q**2 - 12*q - 13. Let s be t(v). Let d(f) be the second derivative of -4*f**3\/3 + f**2 - 14*f. Determine d(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 2*l + 18, 0 = 5*l - j + 13 + 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w = 12*w + 3*i + 6, 4*i + 7 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35\/4? (a) 5 (b) -2 (c) 0.079 (d) 0.05 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 w, and 1 m when three letters picked without replacement from prmwb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-39)*(-190)\/76.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*q - 8 = l, -16 = -4*l - 2*q. Solve l*n + 15 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 30 + 57)*(10 - 2 - 6 + 3*y)*(-1 + 1 + 1).\nAnswer: 159*y + 106","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 14. Let a(n) be the first derivative of -n**3\/3 - 3*n**2 - 4*n - 5. Calculate the remainder when a(y) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 + 3*d**2 - 1. Let f be t(-2). Let i = 596.86 + -595.86. Which is the nearest to 0? (a) 1\/8 (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w = -29*w + 85 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wcccccccwwccccwccccw. What is prob of sequence wcww?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 670*w**2 + 716903*w + 3209. What is i(-1070)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2827631?\nAnswer: 2827631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1326 = 15*i + 1371. Sort i, -15, 4, 2 in descending order.\nAnswer: 4, 2, i, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13*h**2 + 24*h + 15. Let y be i(-10). Suppose -4*b + f + 4*f = -819, 4*f - y = -5*b. What are the prime factors of b?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 (base 12) in base 3?\nAnswer: 10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**2 + w + 1. Let r be v(-1). Suppose -r*a - 15 = 21. Let x(m) = m**3 + 10*m**2 + 8*m + 3. What are the prime factors of x(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35550*a**2*k**3 - 98*a**2*k - 2*k**3 + 60176*k**2 - k + 1 wrt a.\nAnswer: -71100*a*k**3 - 196*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**3 - 70886*r**2 + 683893*r wrt r?\nAnswer: 6*r - 141772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/20)\/(-1) - 74\/(-40).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**4 - 132*v**3 + 736*v**2 - 912*v = 0.\nAnswer: -38, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 4*z. Suppose z = 7*o - 4*o - 12. Suppose o*n = -n + 200. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*s - 20 = a - 217*s, 73*s - 15 = 76*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3678094241 is divided by 1276?\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23283500927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8677 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16439 + 1?\nAnswer: -16438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3655 and 0.00679.\nAnswer: 0.002481745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 101931 and 1427049\/14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -67 + (-571 - -583) + (2 - 13)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 - 6*q**3 - 5*q**3 + 16*q**3 + 15*q**3.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*w**4 + 0 + 0*w - 50\/3*w**3 + 625\/3*w**2.\nAnswer: w**2*(w - 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 129.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -803 = -5*c + 107. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 3)*(0*x - 2*x**2 + 0*x) + 2*x**2 - 3*x**2 - x**2 + 2*x**2 + x**2 - 4*x**2 - 36*x in the form l + k*x + b*x**2 and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a - 100 = 0. Let w = -108 + a. Let j = -50 - w. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -0.2 (b) 3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -979 divided by 88?\nAnswer: -89\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 130 - 127 - (2 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3\/3 + 715*y**2\/3 + 1433*y\/3 + 239 = 0.\nAnswer: -1, 717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*i**2 - 22*i**2 - 260*i**3 + 72*i**2 wrt i.\nAnswer: -1560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 32. Let t = -2 - 6. Which is greater: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3556 = 3*u + 5*d, 2*d + 3544 = -3*u + 3*d. Let w = u + 2407\/2. Calculate the common denominator of (-7)\/21 - (-47)\/2 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -5 (c) -62 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*g + 16, -2*g - 2*n - 10 = -0*g. Is (22\/(-4))\/(g\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:39 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213 - 101?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faxwafxoxxa. What is prob of sequence fwx?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7.9 (b) -0.5 (c) -2\/9 (d) -4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 - 5 + 5 + (-5*a**2 + a**2 - a**2)*(4 - 1 - 4) + (-8 + 5*a + 8)*(2*a + a - 2*a) - 3*a**2 + 0*a**2 + 2*a**2 to z + g*a**2 + j*a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from dmxxdxxxxmdmxxdxxxxx.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10639 + 10639.000005439. What is g rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24440602 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18296 + -15613. Calculate the remainder when n is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - 0.5. Let u = 0.5 - 0.6. Let n = 3.9 - u. What is the second biggest value in -2\/5, n, j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 8 = 3*j. Let m be (-2)\/j - (-2)\/8. Let r = 18 - 13. What is the second biggest value in m, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 + -154. Let k = 219.6 + y. Sort 0.1, k, -0.2, 0.5 in increasing order.\nAnswer: k, -0.2, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 35298*n + 70592. Calculate l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 65 = 12*k. Let j(d) = d**3 + 12*d**2 - 12*d + 21. Let f be j(k). Let p be (f\/20)\/((-2)\/(-10)). Solve 0 = -2*x - 6 - p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 8*m - 11. Let f be s(9). Let d = -15 - -11. Is f at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -4 - 16. Let c be (-1)\/u + (-21)\/(-6). Solve 5*j - 5*l = 45, -17 = 5*l + c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-152)\/19 - -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 600 and 16.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1880955 divided by -41799\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 8. Let t be b(10). Let v(j) = -j**3 + j + 1. Let w be v(-2). Suppose 2*l = d - t*l - 17, -5*d - 3*l = w. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-213)\/6*(-7 + 23 + -24 + 6).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**4 + 407409*b**3 + 677076*b wrt b.\nAnswer: 12*b**2 + 2444454*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-14)\/245*-56*((-198)\/(-26) + -8)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-32)\/36)*3. Let j = -17241 - -17221. What is the second biggest value in j, f, 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 12 = -z. Let o be ((-3)\/(-2))\/((-3)\/z). Is (o + -3 + 0)*-6 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20106 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48824524 to the power of 1\/2, to the nearest integer?\nAnswer: 6987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.52 + 14.12. Which is the biggest value? (a) 0.1 (b) k (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7112 and 1918?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 2*j - 2. Let z be g(3). Let i be ((-6)\/8)\/(z\/(-20)). Let u = -4 + 7. Solve -3*y = 4*a + u, 3*a = -2*a - i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -170209\/63 + 2701. What is the common denominator of k and 7\/3?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -5*w + 26, w + 5*a - 17 = 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182072519*r**3 + 54747967*r**2 wrt r?\nAnswer: 1092435114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/18 - ((-27)\/(-2))\/3*6096\/3429?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {q: 1, j: 3, n: 1, k: 1, w: 5}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11378140 is divided by 262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 10 = -2, 5*b = 4*z - 97. Which is bigger: b or -18?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 2. Find the second derivative of 0*w - 4*w + w + 2*w**k wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 3*v**2 + 3*v - 3. Let w be h(2). Let o(u) = 3 + u - 2 + 4*u**2 + 2*u**2. What are the prime factors of o(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7812 and 4170?\nAnswer: 5429340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -500 + 500.05. What is the second biggest value in 0.18, q, 0.3, 0.1?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -104*g**2 - 192723*g + 245303484 wrt g.\nAnswer: -208*g - 192723","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -18. Let q = 5 + t. List the prime factors of ((-12)\/q)\/(3\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*o + 1104 = 696. Let z = -534 - -827. What is the remainder when z is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4 + 22. Is j\/(-27) - (-3866)\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4 + 5. Let m be (1 - 6)*(-6)\/10. Suppose 5*o - 22 = -m*a, -o - 5*a + 0*a = 0. Solve -k + 8 = o*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4396 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:17 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 1536?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*104\/64*222\/(-111).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 w when three letters picked without replacement from wlllwwlowllwwwwlllw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5296800611?\nAnswer: 79, 67048109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/23)\/t)**(4\/3))**18 assuming t is positive.\nAnswer: t**(-504\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {x: 4, e: 4, l: 7}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (1 + -1)) + 1 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10181*0.4.\nAnswer: 4072.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (8 - 0) + 11 + -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 394488 and 65748?\nAnswer: 394488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96 (base 14) to base 12.\nAnswer: b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 328 or 482?\nAnswer: 482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + (sqrt(605) + 2 - sqrt(605)) + 4 + 3 + ((sqrt(5) + 0)**2 + sqrt(5) + 2)*-2 + 1.\nAnswer: -4 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*q - 33*q + 44*q)*(3 + 1 - 2) + 12 - 12 + 6*q + (-3*q + 4*q + 0*q)*(-2 + 1 - 1) - 1 + 1 - 2*q - 2*q + 4 - 4 - 2*q + 0*q - q.\nAnswer: -41*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5781843 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**4\/6 + d**3\/3 - 6*d**2 - 66*d. Factor b(s).\nAnswer: 2*(s - 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(2 - -1) + (1001 - 16). Let m = -685 + c. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 168*j + 1088.\nAnswer: 4*(j + 8)*(j + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (-66)\/54 + 4. Which is the fourth biggest value? (a) o (b) 1\/3 (c) -0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130110 (base 5) to base 15.\nAnswer: -1755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*s + 858 = 53*s + 64*s. Solve 31 = 5*v + 4*h, s*v + 1 = 28*v + 4*h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**15*r)\/r**5)**(-3) assuming r is positive.\nAnswer: r**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert d0be (base 16) to base 7.\nAnswer: 311540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1945*f**3 - 1501*f**2 wrt f.\nAnswer: -11670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 58. Put 0.6, r, 0.5, -4 in descending order.\nAnswer: 0.6, 0.5, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -43572, -43583, -43608, -43653, -43724, -43827, -43968, -44153?\n\"Answer: -a**3 - a**2 - a - 43569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1265 and 11484.\nAnswer: 1320660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -679, -1367, -2045, -2713, -3371?\n\"Answer: 5*p**2 - 703*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9540923 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -122 + -15.3.\nAnswer: -137.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = 0. Let d = 11043\/4730 - -16\/215. Calculate the common denominator of d and (-2)\/(40\/74) - v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1385)\/(-831))\/((-10)\/(-4)*1). Let h(k) be the second derivative of 1\/2*k**2 - k + 0 + y*k**3. What is the derivative of h(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*410.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72221*g**6 - 273992*g**2?\nAnswer: -8666520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -39 and 20.8.\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 4*b + 0 + 2)*(1 - 1 + 2 + b**2) to j*b**3 + z + h*b**2 + o*b and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (46144\/(-105))\/4 - 4\/30. Let s = n + 114. Suppose -s + 8 = h. Solve 0 = u - 2*o - 7, 6*o + 12 = h*u + 2*o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) - (sqrt(126) + -1*sqrt(126))*4)\/(sqrt(200) + -1*-2*sqrt(200)).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e16 (base 15) to base 16.\nAnswer: -1992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12948723 and 5.\nAnswer: 64743615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 947320398?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -6.4.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12102994595.99999927 - 12102994743. Let y = -347 - -200. Let z = y - g. Round z to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -71.2447\nAnswer: -35.62235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r**2 + 771 + r**3 + 13 + 433 + 21*r + 21*r**2.\nAnswer: r**3 + 3*r**2 + 21*r + 1217","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from yylyyyyelyyyyyly.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5 - 25. Calculate the remainder when 14 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40127020 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 0.3, -1781 in decreasing order.\nAnswer: 0.3, -1\/9, -1781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4942131*y**2 + 6475767*y?\nAnswer: 9884262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5, -2*r = 3*m + 2*m + 12. Let t = m - -3. Let x be 2\/t + 0\/5. Solve -3*a - x = -2*w - 3, 1 = a - w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/393? (a) 4 (b) -1\/284 (c) -4\/5 (d) -18 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 11) in base 14?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**6*w + 65*m**4*w - m**2*w + 20*m*w + 4*m wrt m?\nAnswer: 360*m**3*w + 1560*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 + -111111111?\nAnswer: -111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 668?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 9:47 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-253)\/(-2898)*28*-18\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142937 (base 13) to base 4.\nAnswer: 1313333222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Let y be z(2). Let h = 3 - 1. Suppose 0*g = h*g - 2. Solve a - y = -g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/15 - (-2)\/(-3). Let h(d) = 6*d**3 - 1. Let u be h(g). Solve -5*m - 4*j + 0*j + 10 = 0, -3*m - u*j = -19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31184837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -201021122 (base 3) to base 7\nAnswer: -55661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6879*j - 14352*j = -7201*j + 24752 for j.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 4\/17 (c) -201 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 40 = -v. Suppose 2*g = -4*k - 14, -5*k - 9 = g + v. Let f(s) = -s**3 - 4*s**2 + 2. Let n be f(-4). Is n less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y = -15. Let z(m) = -m**3 + 2*m**2 + 2*m - 2. Let v be z(y). Let k be 2\/((v\/2)\/(-5)). Solve -k*a - 1 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 21*v**2 - 416*v + 8621. Give x(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-42) - 390\/3640?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 - 1525 = -2*s. Let g = 1227 - s. What are the prime factors of g?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1536 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r - 7. Let l be u(-7). Suppose 8*y - 5*y = f - 11, 3*f - 5*y - l = 0. Solve 3*d + 4*c = 19, -5*d = -f*c - 0*c - 23 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446094 greater than -8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2 = -14. Let b = 21 - 12. Is 23 a factor of b\/(-6) + (-187)\/a + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -14*l**2 + 34*l - 10. Let v(n) = -14*n**2 + 43*n - 11. Determine -5*j(d) + 4*v(d).\nAnswer: 14*d**2 + 2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -122251 (base 9) in base 15?\nAnswer: -16d27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7171, 14550, 21937, 29338, 36759, 44206, 51685, 59202?\n\"Answer: v**3 - 2*v**2 + 7378*v - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 500 + -999\/2. What is the third biggest value in -1\/4, -442, o?\nAnswer: -442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -202 - 8?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 715157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 70821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26056 - -35?\nAnswer: -26021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1472)\/1012*(-1)\/2)\/2?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.2 + -36.2. Which is the smallest value? (a) r (b) 5 (c) 0.101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from yyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 162*i + 1104.\nAnswer: 3*(i - 46)*(i - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98 + 125 - (19 + -3)) + -3 + 40?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 + 5*a**2 - a**2. Let p = 3 - 1. Let u(w) = -3*w**2 + 5*w**p - 3*w**2. Give u(t(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 3*b - 2*b)*(6 - 6 - 1) + 0*b - 8*b + b + 0*b - 4*b + 2*b - 2 + 2 - b + (0*b + 2*b + 0*b)*(0 - 4 + 2) - 3 - b + 3 - 2*b + b + 2*b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b0ad (base 15) to base 9.\nAnswer: -143531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (31\/(-124))\/(1\/(-20)). Solve 3*t - i = -5, -b*t - 24 - 3 = 3*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*b - 5216 = -0*v, -2*v = 4*b + 10444. Let l = -12926\/19 - -681. Find the common denominator of (1\/(-8))\/((-39)\/v) and l.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 6*k - 3. Let n be x(5). Differentiate 5 + 21*y**2 + 15*y**2 - 17*y**n + 5 with respect to y.\nAnswer: 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 429706 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13612203 a multiple of 359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*h*l**3*y - 4*h*l**3 + 3*h*l - 2*h + l**2*y - 2*l - 2*y wrt l?\nAnswer: 84*h*l*y - 24*h*l + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40811, 40802, 40789, 40772, 40751?\nAnswer: 40726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 - -35. Let v = -49 - q. Suppose 5*k - 17 = -0*o - 3*o, 5*o = -5*k + 25. What is the remainder when v is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4*(-7 + 2 + -1). Suppose -i*h + x = -571 - 557, h - 360 = -5*x. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 4639?\nAnswer: -4643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**4 + 555*a**3 + 30159*a**2 + 416745*a + 1692738 = 0.\nAnswer: -86, -81, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13716, 61433, 140958, 252291?\n\"Answer: 15904*f**2 + 5*f - 2193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -43009*l + 2. Let s(j) = -18*j. Calculate s(b(c)).\nAnswer: 774162*c - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*p + 112 = 0, 5*p - 36 + 2 = -z. Let k(o) = o**2 - o + 3. What is the remainder when z is divided by k(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*v + 4 = -2*v, -4*o + v + 7 = 0. Suppose o*b = -0*b - 42. Let y be ((-2)\/b)\/((-5)\/3). Is y < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*o - 6 + 97*o - 23 - 49*o to p*o + g and give g.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 a when three letters picked without replacement from {a: 2, v: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (877 - 914 - 859 + 1977 + 2268 + 770)*(0*q**3 - q**3 + 5*q**3).\nAnswer: 16476*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -240 + 348. Sort h, 3, -4.\nAnswer: -4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -72?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y = 4*y + 125. Suppose 0 = -4*q - 5*f + 141, y*q - 16*f = -12*f + 125. What is the greatest common divisor of q and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 13. Calculate the greatest common factor of 64 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 46. Let u(o) = -266*o - 42826. Let a(c) = -3*u(c) - 2793*y(c). Let j(s) = -4*s**2. What is j(a(w))?\nAnswer: -2547216*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 2632290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 - 1.7. Let t be (-885)\/118*(-8)\/90. Which is the nearest to 1\/3? (a) -3 (b) -1\/9 (c) f (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3714569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1165, 1047, 749, 187, -723?\nAnswer: -2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 812 and (232\/(-10))\/(-20 + (-20970)\/(-1050))?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.851 - -3.00305. Let x = y - 0.149. What is x rounded to 4 decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398, -1458, -3848, -8234, -15282, -25658, -40028?\nAnswer: -59058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -215 - -70. Let q = x - -3047\/21. Which is the second smallest value? (a) 0 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 117.4, -3\/8 in descending order.\nAnswer: 117.4, 0.06, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/3903039 and 1\/5790?\nAnswer: 39030390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21520 + 30232. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.065715 grams in nanograms?\nAnswer: 6065715000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.9066 - -4.9. Round u to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 times -73844\nAnswer: 12553.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 1. Let b be t(-4). Suppose 3*i = -g - 2695, b*g - 7 = 18. What is i rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 231120\/1193 or 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 6656?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8. Let s(i) = i**2 + 94*i - 21. Calculate -4*b(x) - s(x).\nAnswer: -x**2 - 94*x - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 121151596.911.\nAnswer: -121151595.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*t**2 - 3 - 19*t**2 + 8 in the form z + h*t**2 + s*t and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -4*x + 304, -b = b - 14*x + 161*x - 2646 - 8828 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o = 8883 - 107493. What is o rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2296 and 24.\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(242)*-1 - (-5*(sqrt(242) + 1) - sqrt(242))) + -3)**2.\nAnswer: 6050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -4 + 1 + 2. Let v(q) = -q**3 - 5*q**2 - 2*q - 6. Let g be v(-4). Let z = 35 + g. Solve 5*w + m*f - 4*f = -z, 4*f = -3*w - 31 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07642, 0.04, -261\/4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 0, 0.1.\nAnswer: -118, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 122529995 - 0?\nAnswer: 122529995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58582176?\nAnswer: 2, 3, 277, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 53*x. Let u(h) = 18*h. Calculate c(u(r)).\nAnswer: 954*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -19. Which is the smallest value? (a) s (b) -1\/3 (c) -102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:15 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/(-10))\/(6\/(-160)). Let j(q) = q**3 - 17*q**2 + 32*q - 14. Let w be j(15). Calculate the highest common factor of r and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 3 = -4*p + 3*w - 36 + 15, -28*w + 333 = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45333 is divided by 73?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 201*u - 2. Let m(q) = 787*q - 10. What is 4*m(w) - 18*t(w)?\nAnswer: -470*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*c + c - 7 = 0, -3*x + 5*c = -7. Let d be 1*(-33)\/(-3) - x. Let a = 24 - d. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/21*(-72)\/(-84)*14\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3672*h**3 + 12*h**2 + 5838*h wrt h.\nAnswer: -22032*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -26*g**2 + 0*g + 0 - 1\/120*g**6 - 2\/15*g**5 - 1\/8*g**4 + 3*g**3. Is b(-8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.53 and 27305?\nAnswer: 27304.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 25609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -232 or -242?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45234728381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 21*m + 19 - 23*m - m**3 + 10*m**2 - m. Is g(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69\/(-161) - 6\/35\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 75.18784ml?\nAnswer: 0.07518784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31748 is divided by 7937?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 4*n**3 - 1. Let x(p) = -4*p**2. Calculate o(x(t)).\nAnswer: 192*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.073614 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/31960 and 39\/40.\nAnswer: 31960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 722?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1486287.\nAnswer: 3, 11, 15013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/2 - 1250089*r\/2 + 625045 = 0. What is r?\nAnswer: -1250090, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 24 = -11. Let g(q) = -10*q**2 + 7*q - 1. Let t be g(m). Calculate the common denominator of -121\/18 and 2\/2*299\/t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -8859\/338449?\nAnswer: -8859\/338449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-1\/15)*q))\/(q\/(q*q*(q**(2\/7)\/q*q)\/q*q*q)*q) assuming q is positive.\nAnswer: q**(37\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -33875*w + 13143522. Calculate l(388).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = 3*p - 5*p. List the prime factors of p\/12 + (-6)\/8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 146*x - 149. What is a(-145)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ecc14 + 73?\nAnswer: ecc87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 42 = 5*g - 13, 5*g = -2*w + 25. Calculate the highest common factor of 77 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -1\/5, -0.5013, 4\/7, 2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33141 - -4?\nAnswer: -33132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c + 12*c**4 + 82*c**3 + 1 + 7*c**2 - 4*c**4 - 11*c - 6*c**4 + 2*c to the form d*c**4 + j + i*c**2 + r*c + l*c**3 and give l.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*d - 4 = 0, n - 5*d - 17 = -0*n. Let r = n - -4. Suppose -4*v + 2*v + 5*z = 35, -5*z = -4*v - 45. Sort 1, r, v in ascending order.\nAnswer: v, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*k + 0 + 0 in the form b*k + g and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1651, 121, -5.\nAnswer: -1651, -5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 7*r + 9621*r**4 + 9624*r**4 - 19242*r**4 + 2*r**3 + 4 - 2*r**2 to l*r**3 + u*r + c*r**4 + s + k*r**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d - 55*d = -40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 393 = 4*i, i + 1743 = -4*l + 201. Is (-11)\/(l\/888699) - 6\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 4*u + 16, 2*t + 3*u - 5*u - 8 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 390\/(-225) + (-16)\/10 + 2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*185.\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 13 + 5 + -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4 + 44*y**3 - 314*y**2 + 792*y - 648 = 0.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/10 and -29\/1134.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 128428541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.2 - -143.2. Let l = -125.94 + i. Which is the biggest value? (a) l (b) -0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 36. Let n = 22.1 + y. Which is the closest to 1? (a) n (b) 1\/3 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.034?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 9*s**2 - 10*s - 6. Suppose -384 = -2*q - 2*q - 4*u, -2*q - u = -197. Let l = 93 - q. Calculate o(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one quarters of a day?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 + 3*n. Determine j(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*p*v*x**2 - 3*p*v - 3*p + 2*v*x**2 - 9*v*x + 8*x wrt p.\nAnswer: -8*v*x**2 - 3*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b - 5*b**2 + 338 - 327 + 41*b**2. Is l(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f + 30. Suppose 0 = 10*x - 7*x - 114. Suppose -2*z = -x + 22. Let o be r(z). Solve 4*h - 3*d = -8, -h + 4*h = -5*d - o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-200)\/(-3) + (-170)\/102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 11*x**2 - 13*x + 32. Let w be u(10). Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 12. Let p be b\/((-6)\/52)*-3. What is the greatest common factor of 39 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*i**2 + 5756705*i - 2878350.\nAnswer: -5*(i - 575670)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(117)\/(sqrt(441) + sqrt(441) + (sqrt(441) - sqrt(441)*1) + sqrt(441)).\nAnswer: 2*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2002 - -200323433?\nAnswer: 200330440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/9 and -49\/13932.\nAnswer: 13932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58950 is divided by 4199?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.66 + 11. Let t = p - -0.74. Let d = -1.0578 + t. What is d rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1346*m + 481. What is the thousands digit of o(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -448 + 7552. List the prime factors of j.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23945682?\nAnswer: 2, 3, 137, 29131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -30. Suppose -21 = -3*n - 3*v, 2*v - f = v. What is the second derivative of -7*p + n*p**3 - 13*p**3 + 5*p**3 wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3844228 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 2620?\nAnswer: 2619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -7*b**6\/120 + b**5\/30 - b**4\/12 + b**3\/6 - b**2. Suppose 0 = 4*x + 5 + 3. Let a = x + 3. Give r(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*w - 118, -3*w - 3*r - 123 = -6*w. Calculate the greatest common factor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1984, -3970, -5956, -7942, -9928?\n\"Answer: -1986*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) 132 (b) -2\/15 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2197 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 384670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = y + 2*n + 8, -9 = -3*y - n. Suppose -6 = -y*j + 6. Which is the second biggest value? (a) 0 (b) -0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 13 - 7 = 0. Let g = 60 - 39. Let i be 5\/(-7) - 6\/g. Sort i, 2, q.\nAnswer: i, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnsvdnsdkdsd. What is prob of picking 1 s and 1 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -226, 39, -0.043?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 448233 = 3*x, 2*x + 10*p - 7*p = 298822. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtststtsssssjt. Give prob of picking 2 s.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -131030 (base 4) in base 13?\nAnswer: -b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.809811 centuries in months?\nAnswer: 11771.7732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 471 divide 100586854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164\/5*r**2 - 2\/5*r**5 + 36\/5 + 24\/5*r**4 - 96\/5*r**3 - 126\/5*r = 0.\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 774 + -769. Put k, 2, -8\/3 in increasing order.\nAnswer: -8\/3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -367*t**2 - 251 + 155*t**2 + 8*t + 109*t**2 + 102*t**2 - 34 to the form z + s*t + b*t**2 and give z.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9747377 centuries in years?\nAnswer: 97.47377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -13*r**2 - 18*r + 132. Let d(u) = 6*u**2 + 9*u - 66. Let s(x) = 5*d(x) + 2*l(x). What is the hundreds digit of s(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + d**2 - 6*d**2)*(-10 + 10 - 2*d) + 3*d**3 + 3*d - 3*d + (-d - 5*d + 5*d)*(5 - 3*d**2 - 5) - 5*d**3 + 2*d**3 + 4*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(31*i + 3*i - 8*i)*(17*i**2 - 3*i**2 + 0*i**2).\nAnswer: 364*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*d - 143. Let p be (d\/(-2))\/((-14)\/(-63)). Let k be ((-20)\/(-6))\/(10\/p). Calculate the greatest common divisor of k and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -222 + 221.973. Round y to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -185, -230, -287, -362, -461, -590, -755, -962?\n\"Answer: -z**3 - 38*z - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7149009 rounded to three dps?\nAnswer: -0.715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + sqrt(72) + sqrt(2))**2.\nAnswer: -112*sqrt(2) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -585 or 0.00483?\nAnswer: 0.00483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**4\/24 - 2*u**3\/3 + 5*u**2 + 9. Suppose -10*t + 19 + 31 = 0. Let c(r) = -r - 6. Calculate t*c(o) - 7*j(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 9:49 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 195 = -3*n. Let q(z) = 3*z**2 - 2*z + 8. Let k be q(-7). Suppose -k = -2*y - n. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -0*n + 2*s - 6, 0 = 3*s - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.58 - -0.68. Which is the nearest to r? (a) 1\/5 (b) 1\/6 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*6*-4 + (sqrt(99) - sqrt(99)*2*-6))\/(6*((sqrt(54)*1)\/sqrt(6) - sqrt(729)*-2)).\nAnswer: -11*sqrt(11)\/114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 692 and 4144216.\nAnswer: 716949368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-567)\/(-90))\/(-21))\/((-12)\/(-64))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.586 - -0.414. Let t = -20 - -37. Suppose 2*p - 5*a = -16, -4*p + 2*a + 1 = t. Put p, -0.2, o in decreasing order.\nAnswer: o, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12810 a factor of 536844286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/5))**(-36)\/(l**3\/l)**33 assuming l is positive.\nAnswer: l**(-438\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3477963 divided by 1159321\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*n**2 - 1586*n - 1106*n + 110*n**2 - 1708*n**2 - 748*n**2 wrt n.\nAnswer: -4964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5da - 1d?\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5216436?\nAnswer: 2, 3, 47, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -887 + 900.26. What is t rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126)\/sqrt(3)*6)\/(sqrt(2)*-1*4))\/(6*sqrt(84)\/(sqrt(108)*6 + sqrt(12))))**2.\nAnswer: 1083\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-2)\/g))**22\/(g**(-2)*g)**(-39) assuming g is positive.\nAnswer: g**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 9*z + 15. Solve z*b + 1 - 13 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*v*y - 2314640*v + 7*y - 9826405 wrt v.\nAnswer: 12*y - 2314640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -982*s**3 + 3181*s**2?\nAnswer: -5892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36.02? (a) -2\/549 (b) 2\/17 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6420 = 86*m - 66*m. Solve -m*r + 327*r = -12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2179749 to the power of 1\/2, to the nearest integer?\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5028837 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/3)*p**(-3)*p**(-8)*p**(-4))\/(p**(-2\/3)*p*p*p\/p**(-5)*p*(p**(1\/3))**(-50)) assuming p is positive.\nAnswer: p**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 35. Let u(h) = -h**2 - 104*h - 699. Let p be u(-7). Give x(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146834 (base 10) to base 3\nAnswer: 21110102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**2\/2 + 181*o + 361\/2 = 0?\nAnswer: -361, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 3*z**2 - z + 2. Let o be 6\/14 - (-248)\/(-56). Calculate n(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 5.5?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, l: 1, v: 3, n: 7}. Give prob of sequence xv.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25994?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*z + 22, l - 19 = 3*l + 5*z. Let d be (-8)\/(-1) - (4 + -3). Suppose d*n - 3 = 6*n. Calculate the highest common factor of n and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + 5*sqrt(110)*-1 + sqrt(110) + -1*(sqrt(110) + (sqrt(110)*3 - sqrt(110))))\/((2*sqrt(120)*-3 + sqrt(120))\/(sqrt(192)*-2)))**2.\nAnswer: 25344\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*u - 19*u + 42*u)*(13 - 7 - 23) to the form x*u + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 752aa (base 12) to base 4.\nAnswer: 211221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/18*2\/(-12). Let i(j) be the first derivative of -1\/2*j**2 + 0*j - 2 - 2\/3*j**3 - d*j**4. Factor i(k).\nAnswer: -k*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 69*q + 75. Determine a(3).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 54.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468019 + 48*o - 468019.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1077522*x**2 + 166317*x + 3 wrt x?\nAnswer: -2155044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -58*f**2. Let c be (60\/(-40))\/(3\/(-976)). Let l(g) = -2*g**2 + 486 + c - 974. What is o(l(a))?\nAnswer: -232*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2308296559?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 11*x + 3. Let m be n(-11). Suppose 7*s - 4*s - 4*j + 1 = 0, -s - m = -4*j. Suppose s = 4*v - 71. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 o, and 1 y when four letters picked without replacement from {h: 4, y: 1, o: 5, b: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n + 3. Let j(x) = -x**2 + x + 2. Let h be j(3). Let c = 7 + h. Is f(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -6 - -12) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 38*k**3 + 3*k**2 + 33*k + 3. Let t(u) = -u**3 + u**2 + 1. Let a(s) = -c(s) + 3*t(s). Find the second derivative of a(n) wrt n.\nAnswer: -246*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16644\/156 - -15 - (24\/(-10) + (-5304)\/(-2535))\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**3 + 2897*x**2 - 11563*x - 48. Calculate s(4).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1395 - 1107*s**2 + 149*s - 73*s - 76*s with respect to s.\nAnswer: -2214*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4025107 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2\/8 + -117*85\/(-13260).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -1.9. Let m = d + 1.4. Let g = m - 0.8. Which is the closest to 7? (a) -2\/15 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**4)\/(s\/s**5))\/(((s*s**(-1\/6))\/s)\/(s\/(s**(-1\/13)*s)))*(s\/(s\/(s*s**(-4\/7))*s)*s\/(s*s\/(s\/s**1)*s))\/(s**0\/s*s*s)**(4\/29) assuming s is positive.\nAnswer: s**(103463\/15834)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166389900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 16. Let j be i(0). Suppose 15*w + 24 = j*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.198 + 123.198. Let u = b - 131.4. Let y = u + 8.9. What is the biggest value in 0.1, -2\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 - 18 + 19 - 5 + f + 7*f**2 in the form b*f + s*f**2 + a + y*f**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85693 is divided by 418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -13. Suppose 636*w + 18 = 642*w. Solve c*p + 2 = -3*q + 3, -w*p = -2*q + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o + 359 = 257 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 5*h + 1 - 4 + 7 + 0. Let i be s(-2). Put 0, i, -1 in decreasing order.\nAnswer: 0, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (4 - 30) + (-3 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.4423 + 10.5. Round g to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 644248.7nm to centimeters.\nAnswer: 0.06442487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132472628*v - 132472628*v + 8*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.84 + -27. Let v = n - -0.1. Sort 0.1, v, 4 in decreasing order.\nAnswer: 4, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 - 56*j - 113. What is the tens digit of n(39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-245)*499 + 4 + -10 and -31\/21?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 0.2554, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2. Let y(c) = c + 8831220. Determine y(g(j)).\nAnswer: 3*j**2 + 8831220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 58910 minus -0.0161?\nAnswer: 58910.0161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4158 - -4154. Sort -173, 4, d.\nAnswer: -173, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0*b**3 - 1\/30*b**5 + 0 + 0*b**6 - 5*b**2 + 0*b + 0*b**4 + 2\/105*b**7. What is the third derivative of a(x) wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmafd. What is prob of sequence daam?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -403, -5, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202 + 210?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0*k + 1\/6*k**3 + 4*k**2 + 0 + 1\/8*k**4. Differentiate s(n) with respect to n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/2 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 57 + n - 71 - n + 128.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x - 220 = -44*x. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-84) + (-72)\/(-7). Let c = q + 12. Suppose 0 = -z - 2*z + 54. What is the least common multiple of c and z?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -245 > -245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -181312 + 181374. Let n = -1 - -2\/3. Which is the second biggest value? (a) -4 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9739762.\nAnswer: 2, 1151, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2024 + 155?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23*3.6\nAnswer: 82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**6\/10 - 5*u**4\/4 - u**3\/6 + 92*u**2 + 298*u. What is the second derivative of v(g) wrt g?\nAnswer: 36*g**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 72 - 93 = 0. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2242, 0, -1, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 369318 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 2*z**4 + 19*z**4 + (-3*z**2 + 3*z**2 + 2*z**3)*(z + 2*z - 2*z).\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8603216\/63 + -136562. Let a = v - -4\/9. Which is greater: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -126a6 + 93c?\nAnswer: -11c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.576, -0.0417, 0.3 in decreasing order.\nAnswer: 1.576, 0.3, -0.0417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 1, -29, -67?\n\"Answer: -4*w**2 - 10*w + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*y + 1042, 4*i - 2*y + 2054 = 8*i. Sort i, 6, 3, 0 in decreasing order.\nAnswer: i, 6, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36.33*298\nAnswer: -10826.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1308 = -q + 4*r, -r = -5*q + 1617. Suppose -4*k - 2*d + 1635 = k, k + d = 330. Which is smaller: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 56, -63, -4\/5, -0.5, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -57558, -115110, -172662, -230214, -287766?\n\"Answer: -57552*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) 666.9 (b) -5\/2 (c) 3 (d) -0.5 (e) 1\/6 (f) -39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -241.\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 3 = 48. Let j be l + 2 + (-15)\/(-3). What is the units digit of 2*1\/j - -1*55?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.06 - 3. Let z = d - 2.23. Let k = -0.41 - z. Round k to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - x + 64, 2*d - 2*x = d + 4. Suppose 27 - 177 = -5*r. Calculate the remainder when r is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 6*d**2 + d - 3. Let x be f(6). Suppose 0 = -x*c - 3 - 0. Which is smaller: c or 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -135063, -135066, -135069, -135072, -135075?\n\"Answer: -3*a - 135060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.23 times -0.24432?\nAnswer: 2.9880336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 773.7034t?\nAnswer: 773703400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(450) + (sqrt(450) - 1*sqrt(450) - sqrt(450))*-3 + sqrt(450))\/sqrt(10))\/((sqrt(108) + 2*sqrt(108))\/sqrt(12)*-4) + 5)*-3.\nAnswer: -15 + 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 + 30. What is n rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224.0097ml to litres.\nAnswer: 0.2240097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4848)\/(-28) + (-168)\/(-196) is divided by 114.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 + 1)*(5 - (-135)\/(-30))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 17*-55274\nAnswer: -939658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 33, -1, 23, 4 in ascending order.\nAnswer: -73, -1, 4, 23, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*sqrt(2) - ((-2*sqrt(16))\/sqrt(8))**2) + (-3*(sqrt(6)*-1 - sqrt(6)))\/(sqrt(30)\/(2*sqrt(10))).\nAnswer: -11 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 7*j**2 + 2*j - 10. Let d be i(7). Suppose 0 = -d*r + 2*r - 140. Let x = -116 - r. What is x rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.53222 litres to millilitres.\nAnswer: 91532.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -4. Let z(g) = g**3 + 9*g**2 + 8*g. Let v be z(k). Suppose 4*n + 2*m = 2, -3*n - m + 3*m + 5 = v. Solve -3*q + 5 = -n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(4\/600)*-1. Suppose 0 = 2*v - s - 398. Suppose 0 = 3*z - 5*t - v, 2*z + 2*t = 272 - 84. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -791\/517 + -5\/47. Find the common denominator of f and -13\/34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*z - 4, 4*f - 1 = 3*z + 7. Suppose 5*x - 3*w - 8 = 0, -2*x + 7 = -5*w - z. Put 3, -5, x in increasing order.\nAnswer: -5, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -191*w - 232. Let c be d(-3). Calculate the greatest common divisor of 62 and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 41*c**2 + 130*c - 40. Let s(x) = 10*x**2 + 33*x - 9. Determine 2*a(b) - 9*s(b).\nAnswer: -8*b**2 - 37*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 14*l. Let n(b) = -16*b**2. Calculate u(n(c)).\nAnswer: -224*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-444)\/44*1\/2 and -11\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*p + 71 = p, -5*p + 60 = 2*d. Let v(q) = q - 23. Let u be v(d). Suppose -2*t + u*m + 383 - 79 = 0, -m = 5*t - 778. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 2)\/2 + 4. Suppose -u = z*u. Solve -5*n - 20 = 5*i, 2*n + 2*n - i - 9 = u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*s - 4. Let z(l) be the second derivative of -l**5\/20 + 3*l**4\/4 + 3*l**2 - 2*l. What is the units digit of z(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {m: 1, f: 4, a: 2, t: 1, r: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5 - 2 + 6 + 0. Let b(k) = -k**2 + 5. Let i be 48\/(-72) + (-129)\/9. Calculate i*t(y) - 3*b(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 57. Calculate the common denominator of -71\/44 and (-3 - 114\/c)\/((-6)\/26).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 30, 0 in ascending order.\nAnswer: -13, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = -3*u. Let g be (-1)\/(u\/2) + 1. Solve a + 3 = -g*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + 84. Let z be 1\/2 + (-4)\/((-24)\/315). Let d = i + z. Round d to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 7. Let t be o(6). Let n be 10656\/160 - 3\/5. Let g be 2*-3*3\/n. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -25709.\nAnswer: 102836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 4 - 1 - 5 + (-d - 2*d + 4*d)*(0 + 3 - 2).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -11.9. Let k be (-1)\/(-4) - 34\/72. What is the smallest value in 0.4, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/(-2 - (-18)\/12). Which is smaller: -75 or u?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.54 * 31\nAnswer: 16.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 6\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*b - 17. Let g(t) = -t - 8. Let p be g(b). Let f = p - -2. Calculate the greatest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -21, -64, -145, -276, -469?\n\"Answer: -2*g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Suppose h + 2*n + 8 = 0, r*n + 12 = 5*h - n. Which is greater: h or -2\/45?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57184735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216100 and 1307405.\nAnswer: 26148100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.007276ug?\nAnswer: 8007.276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 9:02 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -10827?\nAnswer: -10829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -226 * 226688\nAnswer: -51231488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6138\/(-3) - 0)\/(1\/(-4)).\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*y**3 + 27*y**3 + 8*y**3 - 39*y + 16*y**3 wrt y?\nAnswer: 342*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 23*f**2 - 20*f - 44. Give k(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y - 4. Let f(w) = 9*w**2 - 4*w - 4. Let u be f(-1). Suppose -4*z - 6 = -5*k - u, 5*k = 5*z. Calculate q(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.5673599 from -6131.\nAnswer: -6124.4326401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 612740520?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6118)\/(-171))\/(74 - 81)?\nAnswer: -46\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -517, -2263, -5183, -9247, -14425, -20687, -28003?\n\"Answer: 5*m**3 - 617*m**2 + 70*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five halves of a year?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*x + 184. Let c = 163 - x. Suppose h + 4*h - c = -2*o, -3*o - 15 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 842688 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49841281 or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101651 + 4706251.\nAnswer: 4807902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -372167 (base 8) in base 2?\nAnswer: -11111010001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14078.\nAnswer: 2, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/19))**1\/(((o\/(o\/o**(5\/8))*o)\/o)\/(o\/o**(-32))) assuming o is positive.\nAnswer: o**(4953\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1685*p**2 + 1967*p**2 - 1 + 0 + 1.\nAnswer: 282*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 - -177. Let n(x) = -10*x - 14. Let z be n(-7). Calculate the highest common divisor of z and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*m + 30. Suppose 48*f + 19 = -3 + 70. Sort m, -3, f in increasing order.\nAnswer: -3, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - 136\/(-32))*-8. Solve -i = -4*k - 4*i + 2, -k + 2*i + x = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 - 4*j - 2*j - 2*j**2.\nAnswer: -9*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -101429 > -101418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 315.19 - 66461?\nAnswer: -66145.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 + z - 3)*(1059*z - 12516*z + 2166*z) in the form x*z**2 + l*z + u and give x.\nAnswer: -9291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -809*187925\nAnswer: -152031325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-78))\/(657\/207831)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 140207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-6860)*966 - 0.\nAnswer: -69\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, 1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 1:48 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 6*o + o**2 + 6 + 0*o. Calculate the lowest common multiple of y(-6) and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -60*i**3 - i**2 - 21*i - 46. Let c be j(-4). Suppose 0 = -5*l + 15, -5*p + c + 1841 = -4*l. What are the prime factors of p?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 3, -165, 7, -4 in ascending order.\nAnswer: -165, -6, -4, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 1082690520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 7:54 AM?\nAnswer: 447","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 6, 15?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(-7)\/i)\/i*i**10)\/(i*i**(-3\/2)*i)**13)**(1\/16) assuming i is positive.\nAnswer: i**(-9\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 16. Let p(x) = x**2 - 4*x - 6. Let y be p(n). What is the derivative of y + 5*u**2 - 2*u + 2*u - 5 wrt u?\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*h + 309*h = -4983. What is the least common multiple of h and 135?\nAnswer: 20385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*d + 15, d - 33 = 5*r. Let t(f) = -f + 4. What are the prime factors of t(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1791*g - 175 = 1812*g + 392 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 7 - 19. Suppose 6*o = 3*o + 3. Sort o, q, 5 in increasing order.\nAnswer: o, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g - 26. Suppose 4*w - 5*w = 6. Let s be l(w). What is the units digit of 5 + -1 + s + 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1629, -3, -0.07 in decreasing order.\nAnswer: 1629, -0.07, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from oqehooeottoet.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 13*f + 21. Let g(m) = -4*m + 3*m - 8*m + 11 - 2. Is g(f) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 11) to base 16.\nAnswer: -7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -393.7 + 19.7. Let i = 0.017194912 - -373.981215088. Let a = i + c. Round a to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -432 - -432. Solve 5*l - 4*x - 15 = 0, -2*l - 3*x + k = -6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from nonbbnobnnonnoon?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (7 - (-19 + 11))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14 + 5 + 1 + 7. Sort -6, -4, q in descending order.\nAnswer: q, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335401 a multiple of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*((-372)\/108 - -4)\/((-2)\/(-9)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 61642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/10 and -91\/74.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5093764 to the power of 1\/2, to the nearest integer?\nAnswer: 2257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4\/9)\/(c*c**(-17\/3)*c)*(c**(12\/13)\/c*c)**(2\/49) assuming c is positive.\nAnswer: c**(18689\/5733)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from yjujyn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 9*j + 112. Calculate the remainder when x(0) is divided by 46.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105951 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1400*z**3 + 2*z - 819?\nAnswer: -8400*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 192183 times -0.22\nAnswer: -42280.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 3*t - 1. Suppose -99 - 37 = -3*u + j, 0 = -5*u + 4*j + 229. Let m be 36\/u + (-292)\/(-10). Let i be (2\/4)\/(145\/m - 5). Determine q(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -246, -1001, -2266, -4047, -6350, -9181, -12546?\n\"Answer: -o**3 - 249*o**2 - o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 464 + -260. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 594708 and 4032?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 134556 (base 7) to base 14\nAnswer: 94d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.7 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097.83 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -13. Suppose 10*w - 5*w - 5*z = 10, -2*z - q = -3*w. Suppose w = v, -3*y + v + 32 = -101. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**0*k)*k**(-6))**(-7\/3)*((k*k**(4\/5)*k)\/(k**(-4\/7)\/k))\/((k**(3\/2)*k)\/((k*k*k**(1\/5)\/k*k)\/k*k)) assuming k is positive.\nAnswer: k**(253\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/18))**(-25)*(h\/(h*h**(22\/5)\/h*h))\/(h**(1\/10)\/h) assuming h is positive.\nAnswer: h**(-244\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -362821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (360\/(-108))\/((-58)\/(-783))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtsfsqtfqqs. Give prob of sequence ss.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 848 a factor of 422843328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4592 * 0.2.\nAnswer: 918.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 7. Give i(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 480378159?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**2*d)\/d**(-8))**(-1)\/((d\/(d\/((d*d\/d**0)\/d*d)))**(4\/9))**(-43) assuming d is positive.\nAnswer: d**(236\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 1)\/((4\/(-3))\/4). Let s be 4\/(-3)*(-3)\/2. Let r be 3*(3\/(-1) - -2). Sort r, h, s.\nAnswer: r, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 92, -0.1, -14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/4*(24 - 26).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2853\/2 - -1470. Which is greater: 44 or y?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.27 + -0.27. Let r = m + -14. Let a = 988\/5 - 989\/5. What is the closest to r in a, -3\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1027 = 75*d + 652. Sort 1, 380, d.\nAnswer: 1, d, 380","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*t - 510 = -403*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (237 + 12 + 1080 + 827 + 1606)*(-4*l**5 - l**5 + 3*l**5).\nAnswer: -7524*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 107, 146, 183, 218, 251, 282?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 25 = 9*t - 3*f, 0 = -4*t + 3*f - 7. Suppose -t*m - 19 = -27. Let y be (-374)\/77 - (-2)\/(-14). Sort m, -4, -2, y in decreasing order.\nAnswer: m, -2, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 17251.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.015? (a) 1 (b) -3 (c) -0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4977 - 2807. Does 31 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 2*s**2 - s - 5. Let m be y(-3). Let p(i) = -96*i**2 - 7. Let z(u) = 96*u**2 + 6. Let n(g) = m*z(g) + 6*p(g). Let w(k) = -k. Give w(n(h)).\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 13*h - 4. Let w be f(9). Let k = 56 + w. Suppose -2*g - 56 = -9*g. Calculate the highest common factor of g and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*a + 106 = 0, 5*a + 223 = 5*o - 7. Calculate the greatest common divisor of 231 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -7 + -42 + 21 + -35.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 2\/7 - (-57)\/21. Does 8 divide (-33)\/(-3) + 4\/(4\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*a**2 + 125 + 82*a**2 + a**3 - 7*a - 23*a**2 + 7*a to the form u*a**2 + x*a + t*a**3 + r and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11 - 2) + 0 + -1. Suppose -5*s - c = -18. Suppose 0 = s*d + 2*d - 20. Is d > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 12*w**3 + 3*w**2 - 4*w + 6. Let v(x) = x**2 - x + 1. Give i(q) - 4*v(q).\nAnswer: 12*q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.834 + 1.834. Put -4, 3\/8, z in increasing order.\nAnswer: z, -4, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**8\/84 - 8*d**7\/21 + 21*d**6\/5 - 196*d**5\/15 - 343*d**4\/6 - 10*d**2 + 2*d. Find a, given that w(a) = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t + 312 = -4*b - 9*t, 16*b - 156 = 18*b + 23*t for b.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2. Let q(d) be the first derivative of -2*d - 7. Let z(x) = -x**2 + 3. Let u(t) = 3*q(t) + 2*z(t). Calculate n(u(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 15*z**2 - 9*z + 5. Let h(f) = -8*f**2 + 5*f - 3. Let t = -969 - -972. Calculate t*a(g) + 5*h(g).\nAnswer: 5*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.058252 and -0.1.\nAnswer: 0.0058252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50ab81 + 5?\nAnswer: -50ab78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2930 - 2936 - 2940 + 14676 + 11*q**2 - 2943 - 2927.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -0.3, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 45 + 194 - 151 - c + 441 as q*c + t and give t.\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**4 + h + 1. Suppose o - v = 6*o + 26, 2*o + 3*v = 0. Let u(x) = 7*x**4 - x**3 - 2*x**2 - 6*x - 6. Let n(z) = o*l(z) - u(z). Solve n(t) = 0 for t.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfi when three letters picked without replacement from {k: 2, f: 7, i: 1, h: 8}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0 + 662*p**3 - p - 2*p**2 - 664*p**3 - 5*p**4 in the form t + l*p + a*p**3 + u*p**4 + g*p**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {t: 1, j: 2, e: 1, g: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19692872.3+171\nAnswer: 19693043.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - r - 4*r + 2*r)*(r**2 + 4*r**2 - r**2) - 3*r**3 + 5*r**3 - 4*r**3 + (244 - 244 - 10*r**2)*(-1 + 2*r + 1).\nAnswer: -34*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -54*d. Let x(k) = 139*k + 1. What is c(x(h))?\nAnswer: -7506*h - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 852 - 1461 + 2*r)*(4 - 2 + 0) - 2 + 2*r + 2 to q + n*r and give q.\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 4*i**2 - 8*i - 6. Suppose -5*v + 215 = -5*f, 4*f + 3 = 3*v - 123. Let z = v - 52. Determine p(z).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28692 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/1*(-15863)\/(-6017)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or -1\/6?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(6\/13))**(-5\/4) assuming s is positive.\nAnswer: s**(-15\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (49 - -7469)\/(8\/52).\nAnswer: 3, 7, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1\/2)\/i)*i**(3\/14))\/(((i*i**1)\/i)\/i**(27\/5)) assuming i is positive.\nAnswer: i**(249\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.42 + -0.42. Let a = g + -9. Let c = -28 + 55\/2. What is the closest to 0.2 in a, 1\/5, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 3, -2 in descending order.\nAnswer: 15, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i**2 + 4*i**2 + 14*i**2. Let x(m) be the first derivative of 6*m**2 + m**2 + 2*m**2 - 10*m**2 - 5. What is x(p(v))?\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide ((-42)\/28)\/(-5 - (-42607)\/8522)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 9*o**2 + 11*o - 2. Let l be b(8). Suppose 0 = 2*t - 4*n - 28, n = -2*t + 2*n + l. Calculate the remainder when 28 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12954 and 2794.\nAnswer: 142494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17640380 + -108?\nAnswer: -17640488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 36550a?\nAnswer: 365513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123601\/186165 + -1528\/1773. Let z = -1\/135 - j. Let 2\/21*m**2 + 0 - 4\/21*m - 2\/21*m**4 + z*m**3 = 0. Calculate m.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 41 = 5*g, w = 3*g - 4*w + 19. Let y be 4\/g + 1\/2. Find the third derivative of 2*o**2 + y*o**2 - 4*o**2 - o**6 wrt o.\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 k, and 1 t when four letters picked without replacement from {g: 1, k: 3, e: 2, i: 1, z: 1, t: 10}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -193b5b - 201?\nAnswer: -193d5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 186301225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*i - 405, -2*i + 0*i = 4*k - 322. Suppose -715 + k = -t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*f**4*h - 29*f**4 + 101*f**2*h + 2*h wrt f.\nAnswer: -504*f*h - 696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 932.8975 millimeters in centimeters?\nAnswer: 93.28975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123 - 99. Suppose 2*g = 5*p - n, 0*g = -4*p + 4*g + 24. Let s(q) = q**2 + p + 5*q**2 + 0 - 2*q - 7*q**2. Calculate s(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 - ((-2 - (-4 + -2)) + -117 + 99)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**3 + 6*c**3 - 13*c**3 + 4*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729162 is divided by 242903.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**4\/4 + 5*m**3\/3 - m**2 - m + 4. Let y be j(5). Which is smaller: -10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + 92*b - 808. Give m(16).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -34aa717?\nAnswer: -34aa713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13398 + 1560?\nAnswer: -11838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, -0.4, -9, -5, 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 19. Suppose 3 = v, c = 3*c + i*v - 124. Calculate the greatest common divisor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 951*o**3*y + 224871*o**3 + 27*o*y**3 with respect to y.\nAnswer: 951*o**3 + 81*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6067 or 62126?\nAnswer: 62126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4649.2882 - 4594.2883136. Let a = 55 - z. Round a to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.29 - 15198156.5\nAnswer: -15198177.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7 + 4 + 4. Let z(w) be the second derivative of w**3\/2 + 5*w**2\/2 - 2888*w. Let n = 1 + 0. Calculate n*z(j) - 3*a(j).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4416577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15 at most as big as 2950.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 22 = 5*v, 5*v + 4*a - 12 = -0*v. Let d(i) = -i**2 - i + 7. Let k be d(-5). What is the remainder when 3 + -1*(k + 1) is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 9*a**2 - 16*a - 4. Let k be z(-7). Suppose -f + 3 = 2*i, -3*i = f - 8*i - 10. Solve 3*s + f*r + k = 0, 4*s = 2*s + 4*r + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*c = -0*c - 205, -3*f - 5*c - 209 = 0. Let k = f - -53. Let g(a) = -a**2 - 11*a + 9. What is the remainder when g(k) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/4 - ((-20)\/(-4) + -4). Let d = -6.5 + 12.7. Let y = -6 + d. Which is the third biggest value? (a) y (b) t (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (5 - 6) + 7 + (-95 - (-2 + -17))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -168, -0.01, 3, 27, 0 in ascending order.\nAnswer: -168, -1\/4, -0.01, 0, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109041 is divided by 1416?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 29*d**6\/120 - 22*d**3\/3 - 3*d**2 + 12. Differentiate v(b) wrt b.\nAnswer: 87*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + 11*t - 1. Suppose 0 = 4*x + 3*a + 36 - 10, 2*a = -4. Let m(w) = 3*w**2 - 22*w + 1. Let i(s) = x*n(s) - 3*m(s). Give i(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*y + 66*y - 260 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7209 and 825831.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 5:44 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132*c**5 - 40*c**2 - 3*c wrt c.\nAnswer: -7920*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1506\/(-67017) + (-868)\/979\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + -613\/13. Suppose -28 + 4 = k - 5*y, 2*y = -5*k - 93. Let j = -20 - k. Which is the biggest value? (a) o (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 14. Let l(h) = 4*h**2 - 2*h + 1. Let b be l(a). Suppose -3*k + 2*u = -46, 0 = 4*k - 3*k + b*u - 30. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201\/(5628\/3976)*4\/(-8)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 9:44 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 11:57 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**5*c)\/c*c**1)\/((c\/(c*c**(-35)\/c)*c*c)\/c*c*((c\/(c**(-6)*c*c))\/c)\/c) assuming c is positive.\nAnswer: c**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 539? (a) -1\/27 (b) 2\/11 (c) 25\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9394, 9404, 9420, 9442, 9470, 9504, 9544?\nAnswer: 9590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 250 + -228.4. Let x = 22 - n. Which is the second smallest value? (a) 5 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1462 and 646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**3 + 3*v**2 - 6*v. Let s(k) = 602*k**2 + 5*k + 606*k**2 - 4*k**3 - 1210*k**2. Determine -3*h(n) - 4*s(n).\nAnswer: n**3 - n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 2:50 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d, 2*v = 3*d - 2. Suppose 18*z + 7*z - 22 = 3*z. Sort z, 123, v, -3 in descending order.\nAnswer: 123, z, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -88*g + 86*g. Let l = -62 - g. What is the remainder when 22 is divided by l\/(-3)*(-4)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 12 = -8*l. Suppose 2*h - 300 = -l*h. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-40) + 114\/(-30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -47062423.\nAnswer: 3\/47062423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 484*k + 2964. Let j be h(-6). Sort -2, -1, j.\nAnswer: -2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.87 - 0.13. Let g = -7 + 8. Let v = 0.08 + 0.22. What is the closest to b in v, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 510.5689 years?\nAnswer: 6126.8268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 5. Let a = 48 + -44. Let o = -27\/56 + 3\/56. Put a, z, o in ascending order.\nAnswer: z, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(3\/4)*i*i)\/i)\/(i\/((i\/(i\/i**(2\/7)))\/i)))\/(i**8\/(i\/i**(4\/7))) assuming i is positive.\nAnswer: i**(-183\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 40366.\nAnswer: -2\/20183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.143948 rounded to three decimal places?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1083522 - 0?\nAnswer: -1083522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 - 2*n**3 + n**3 + (-5*n + 5*n - 6*n**2 + 0*n**2)*(-128*n + 20052 - 20052) as c*n**2 + d*n + o + r*n**3 and give r.\nAnswer: 766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = -3*c + c. Does 54 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 4*a**2 - 3*a + 5. Suppose 5*y = 2*p - 0*y + 15, 5*y - 5 = 0. What is s(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 208 - 178. Solve 18 - a = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/4582 and -99\/754.\nAnswer: 59566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 555 by 1228.\nAnswer: 555\/1228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a factor of 175234800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-3)*(-9)\/6. Let u(g) = g**3 - 4*g**2. Give u(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x. Let v(f) = -81*f**2 - 905*f. Give s(v(p)).\nAnswer: 486*p**2 + 5430*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. Let n = y - 3.9. Let w = -12 - -47\/4. Which is the nearest to n? (a) -1 (b) w (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.9 + -172.9. Let f = -156 - h. Let o(x) = x**3 + 5*x**2 + 2*x + 7. Let q be o(-5). Is f >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.213134ml?\nAnswer: 0.004213134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + 6*v**2 + 0*v**2 + (7 - 2 - 4)*(3*v**2 - 3*v**2 + 2*v**2) + 4*v**2 - 2*v**2 - v**2 + (4*v - v - v)*(3 + 2*v - 3).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107456?\nAnswer: 2, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(5200) + sqrt(5200) + sqrt(5200))**2 + sqrt(5200) + -3)*-1*-5.\nAnswer: 100*sqrt(13) + 233960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -873177 and -16.\nAnswer: -873193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*w + 332 - 340 = 0, -2*w + w = 6*k + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1689.3951 months to years.\nAnswer: 140.782925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*z + 1231 = 0, 0 = -2*b - 4*z + 2514 - 12. Let l = b + -505. Is 102 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2707 and -39?\nAnswer: 2668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 7 + 5. Find the third derivative of i**2 - g*i**2 + 2*i**5 + 4*i**2 wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 44 + 2*k + 200.\nAnswer: 2*k + 204","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 3811993.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -499 + 1096. Suppose 0 = 3*c + 3*t - z, 7*c - t - 581 = 4*c. What is the greatest common divisor of 39 and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31430, 63, -8 in ascending order.\nAnswer: -8, 63, 31430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 - 77 = 6*g. Let t be (3\/(-21))\/(4 - g\/6). Let x = 0.5 - -3.5. Which is the closest to 0? (a) -0.9 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2803 + 2807. Solve -t + 1 = h*d, 0*d - d - 14 = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6262986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 12. Let m(g) = 2 + g**x - 3*g**2 - 3*g**2 + 6*g**2. Let p(b) = -b**3 - 3. Calculate -5*m(d) - 3*p(d).\nAnswer: -2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 177 - 380. Let i = c - -1823\/9. Is 1 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.511?\nAnswer: -2.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185 and 275095.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from {p: 2, q: 5, k: 2, e: 2, f: 2, o: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eill when four letters picked without replacement from {l: 3, e: 1, i: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 347300687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*x**2 + 39*x**2 + 40*x**2)*(-1 - 11*x + 6 - 7).\nAnswer: -1111*x**3 - 202*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c**3 - 3*c**3 - c**3)*(-30*c + 32*c + 55*c).\nAnswer: -855*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 5:50 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.306349 and 4.\nAnswer: 1.225396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 8*j - 296. What is the remainder when j is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 8*x**4 + 9 + (2*x**3 - 2*x**3 - x**3)*(-1 - 1 + 4)*(x + 3*x + 102 - 86).\nAnswer: -16*x**4 - 32*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -22*x + 23*x. What is the remainder when x is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11, 36, 67, 98, 123, 136?\n\"Answer: -n**3 + 9*n**2 + 5*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/99 (b) 1 (c) 0.4 (d) 3 (e) -0.491\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/9)\/(5\/(-1125)*-25)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8834 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i, -2*v + i - 370 = -7*v. Suppose 5*f + 4*x = v, 2*f = 5*x - 2*x + 48. Calculate the highest common divisor of 576 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1473*k + 1472*k + 1470*k - 5870*k + 1453*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 4. Let x = -43 - -36. Let o(b) = b - 2. Calculate x*o(j) + 3*l(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 2600735*u - 10402924.\nAnswer: -(u - 2600731)*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 4, -330794.\nAnswer: -330794, -28, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175.0133km to micrometers.\nAnswer: 175013300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.542092 rounded to two decimal places?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*q - 4*q - 320909, -5*s = -q + 401135. Let i be (s\/(-45))\/((-57)\/(-15)). Let w = i - 469. Is w smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131.1 * -0.109\nAnswer: 14.2899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 968 and 2662?\nAnswer: 10648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 2*a + 143 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l**2 - 68*l + 448. Let r be a(9). Solve 0 = -113*f + 194 - r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3 + 726*d**2\/7 + 1954*d\/7 - 42 = 0?\nAnswer: -49, -3, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540) + (sqrt(540) - sqrt(540)*1)*-4)\/(2*sqrt(972) - (sqrt(12) + (sqrt(1452) + sqrt(1452)*2 - sqrt(1452)))).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25495 - 192*b**2 - 25495 to l*b**2 + c*b + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 112443887053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -59. Let c = -3 + 0. Let o be 0\/(4 + c\/3). Put o, j, 2 in decreasing order.\nAnswer: j, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)*-2*-3)\/sqrt(3)*1)\/((1*sqrt(432) + sqrt(432))\/sqrt(9)*3).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2072 and 3976?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6963.\nAnswer: 3, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*j**5\/7 + 288*j**4\/7 + 150*j**3\/7 - 12636*j**2 + 169728*j\/7 + 36864 = 0. Calculate j.\nAnswer: -32, -1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h - 46*h - 25*h - 4*h as v*h + r and give v.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70718584 - -3?\nAnswer: 70718587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.128? (a) 0.3 (b) 591 (c) 2 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 269*o + 17 - 32.\nAnswer: 269*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-270)\/(-21))\/(-3) - 6\/(-21). Put 1, -1\/5, g in decreasing order.\nAnswer: 1, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/6 - -2*9. Suppose a*j + 2 = 21*j. Put -3, j, -1, 1 in increasing order.\nAnswer: -3, j, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -192 in -2, 1\/16, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*u - 4*w, -2*w + 0*w = 4. Let b = -372 - -406. Suppose 2*k - 24 = -b. What is the closest to u in -0.12, -2\/3, k?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.558 * 7\nAnswer: -59.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -455*s**2 - 6. Let u(i) = 454*i**2 + 7. Calculate -7*r(v) - 6*u(v).\nAnswer: 461*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*k = 14, 5*h - 2*k - 21 + 1 = 0. Let o = -1028 + 1031. Suppose 6 + 2*c - h*c**2 - 6*c**3 + 3*c**o + c**3 = 0. What is c?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**2. Let r(b) = b. Let p(y) = 5*y + 2. Let f(z) = 20*z + 9. Let q(u) = -2*f(u) + 9*p(u). Let o(w) = -3*q(w) + 12*r(w). What is o(n(i))?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 76\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -140. Calculate the smallest common multiple of q and 6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 + 17*k + 5. Let z(i) = -4*i**2 - 25*i - 7. Let u(q) = 7*c(q) + 5*z(q). Let v be u(5). Put 3, v, 4 in decreasing order.\nAnswer: 4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21130 - -1320?\nAnswer: -13210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 + 13*d - 3. List the prime factors of y(-7).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 64*m**2 + 119*m - 3598. What is k(65)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*a**2*n**2*o**3 - a**2*n**2*o**2 - a**2*n*o**3 - a**2*o**2 + 11*a**2 + 2*n**2 wrt o?\nAnswer: 570*a**2*n**2 - 6*a**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22467*i**3*u**2 - 25233*i*u**2 + 2*i*u + i - 1 wrt i.\nAnswer: 134802*i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*q + 6 = -75*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(78) + sqrt(78)*-2))\/(-6*sqrt(150) - sqrt(150)).\nAnswer: sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - h**2 + 1. Let y be q(2). Suppose -3*m = -2*o - 385, -o - 3*o = y*m - 627. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 337*c**2 - 25*c - 336*c**2 + 34*c to u + h*c**2 + k*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808594?\nAnswer: 2, 461, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgccvtvschtvvvt. Give prob of picking 2 c and 1 h.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3786 + -3777. What is the remainder when 104 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49b4b707 + 3?\nAnswer: 49b4b70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(sqrt(28)\/sqrt(4))**2 - sqrt(7)) - (sqrt(567) - sqrt(7))**2*-4.\nAnswer: -2*sqrt(7) + 1806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 168 + -165. Suppose -8*f + 1455 = -k*f. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) 0.3 (c) 5 (d) 2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5020 (base 10) to base 16.\nAnswer: 139c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 7:16 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)*g*g*g\/(g\/g**(-1\/15)))\/(g\/g**(-3))**(-1\/4) assuming g is positive.\nAnswer: g**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020154 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = y - 7, 0*y + 3*y - 21 = 3*i. Let s(t) = -7 + 4*t + y. Let a(d) = d + 2*d + 0*d. Give s(a(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5368 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 9:01 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 330*a - 166*a - 162*a)*(5*a - 2*a - 2*a) as s + c*a**2 + r*a and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7261166\/5 less than -1452234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2. Let b(j) = -j**2. Let l(q) = -24*b(q) + 5*u(q). Suppose 0 = -3*o - 0*o + 9. Let m(v) = -v + o*v - 5*v. Calculate l(m(z)).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2811*j - 121701. Determine v(-43).\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9969 or 249262\/25?\nAnswer: 9969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2820*d = 2860*d - 200 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.28052 milliseconds in seconds?\nAnswer: 0.00128052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*q**2 - 7*q**2 - 26*q**2 + (-4 + 4 - q**2)*(-5 + 5 + 2) to the form i*q**2 + c*q + p and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -29 + 31 + -4 + -31\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008\/(-168) + 3\/450*-2*(-4515)\/10?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 - 5 + 5 - 2*w**5 + w**5 - w**5 + (2*w**4 + 10*w**4 - 5*w**4)*(2 - 2 - w) - 2*w**5 + 0*w**5 + 0*w**5.\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1407 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 6*f + 14. Is 14 a factor of r(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10839371?\nAnswer: 23, 471277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -32*u**3 + 4*u**2 - 2*u - 4. Let t be y(-4). Suppose 4*a + 2*f = -a + t, -1685 = -4*a + f. Suppose d = -d + a. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 576952500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-84))\/((-25)\/50)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.59273 to one dp.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + y - 5*y + 1. Let n be l(1). Let f be n + 3*(-8)\/(-3). Solve f*v - 24 = -4, -5*m - 2*v = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.2705 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9641 divided by 311?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 4*u**2 - 3*u - 5. What is f(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 7. Suppose 0 = 3*q - 5*p - 26, -q - p = 2*p - 18. Let y = q + o. What is the lowest common multiple of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2107 is divided by 162.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13297 + 13298. What is the closest to 4 in l, -1.9, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2, 5, -10, 35 in decreasing order.\nAnswer: 35, 11, 5, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i - 21840 = -22645 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**3*t**3 - s**3*t**2*x + 22132468*s**2*t**3*x**3 + 14428856*s**2*t**2*x**3 - s*x**3 wrt t?\nAnswer: 6*s**3 + 132794808*s**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56092 + 56092 - 388*b + (-3*b + 0*b + 5*b)*(2 + 0 - 1) + 2*b - b + b - 14.\nAnswer: -384*b - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(3 - (-22)\/(-8)). Let f(j) = j**3 + j - 1. Let m be f(d). Let g(u) = 9*u**3 - u**2 + u. What is the units digit of g(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 50. What is the closest to 0.2 in 2, -1\/3, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwo when three letters picked without replacement from zoozowwzfoozwu?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97*c + 97*c + 90*c**2 + (0 + 0 - 4*c**2)*(3 - 2 - 4) - c + c**2 + c)*(-4 + 4 - 1 - 2*c).\nAnswer: -206*c**3 - 103*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 - 267. Let l be (-3)\/y + (-2 - (-132)\/77). Which is the third biggest value? (a) 7 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 0.2 (c) -0.692 (d) -0.1 (e) 2\/3 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + 0 + (-42 - -272) - -4. Are 256 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 4 + 0*x**2 + 0*x - x**4 + 6\/5*x**5 + 9*x**3. Find the third derivative of j(p) wrt p.\nAnswer: 144*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1238 = -39*o - 263. Suppose -2*y + 10 = -8*v + 12*v, 5*y = -o. Let r = 2 - -2. Solve v = r*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**5*x + 6*m**4*x + 269*m**3*x - m**2*x - 169*x + 7 wrt m.\nAnswer: -60*m**2*x + 144*m*x + 1614*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1 + 9 = 0. Solve 4*i - 3*o + 11 = 0, d*i - 2*o = 6*i - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**2 - 13*z - 2. Let h be q(4). Suppose h*r - 32*r + 264 = 0. What is the greatest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) -340 (c) 2 (d) -0.3 (e) 16\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 92*q**2 + 46*q + 96. Is u(-2) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -73 (c) 1658 (d) 3.2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(175) - (sqrt(175) - (sqrt(175)*4 + sqrt(175)) - sqrt(175))))\/sqrt(5))\/(sqrt(320) + 5*((5*sqrt(320) - sqrt(320) - sqrt(320)) + sqrt(320))).\nAnswer: -3*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7134 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 12, 3, -0.038, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64902697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3 + 2 + 7 + 6 - q. Let v be c(7). Solve -4*w - v*a = -25, -5*w + 8 = -4*a + 28 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30681\/14610*4*3\/(-21).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/7 + 1140*l - 758100.\nAnswer: -3*(l - 1330)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6*i + 2 = 0. Let s(x) = 4*x**3 + x - 1. Let n be s(i). Suppose n*g - 3*g - 16 = 0. Calculate the highest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = -3*z - 59, -287*z + 5*u = -285*z + 41 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**2*j**3 - 201*i**2 - 3*i - 19648*j**3 - 10 wrt j.\nAnswer: 6*i**2*j**2 - 58944*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 21*w**6\/10 + w**4\/6 + 29*w**3\/2 - 103*w. Find the second derivative of s(k) wrt k.\nAnswer: 756*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -53026808240?\nAnswer: 53026808239.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.8 - -20. Let g = -23.5 + p. Let b = g + 15. What is the closest to -1 in -4, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3045084.\nAnswer: 2, 3, 7, 36251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10) + 226\/(-10). Suppose 0 = 2*x + 57 + 27. Let d = r - x. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134 and 1236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - z. Let t(o) = -o**3 - 16*o**2 + 20*o + 28. Let j(k) = 4*l(k) - t(k). Is 28 a factor of j(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2422 (base 6) to base 14.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -23596, 4\/5, 0.046 in ascending order.\nAnswer: -23596, 0.046, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = s + 3*p, 4*p + 144 = 3*s + 17. What is the greatest common factor of 369 and s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - 5) + 40 - (-25 - -4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 30*f**2. Let u(n) = 3091*n**2. Determine u(c(l)).\nAnswer: 2781900*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*p**5 + 8\/9*p**2 + 0 - 4\/9*p**4 - 2\/3*p**3 + 8\/9*p.\nAnswer: 2*p*(p - 2)**2*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -382*l**3 + l**2 - 10*l - 2. Let x(r) = -380*r**3 + r**2 - 11*r - 3. Let a(w) = -7*f(w) + 6*x(w). What are the prime factors of a(1)?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at least as big as 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107964223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -147*k**4 - 63483*k**3 + 10454760*k**2 - 52498044*k + 66951360 = 0. Calculate k.\nAnswer: -560, 18\/7, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3 - 11908*p**2 + 130782*p - 213948 = 0. What is p?\nAnswer: 2, 9, 5943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3137*w**2 + 168*w - 5220631?\nAnswer: -6274*w + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1545 - -100.1545. Which is the closest to y? (a) 5 (b) 4\/3 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + -402 + 388 + 2 + -8 + -1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -538\/7277 - 12\/383. Let h = -1 - -2. Let w = h + -2. What is the nearest to w in t, -7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5999991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - -2366?\nAnswer: 2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100769?\nAnswer: 100769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 5*c**2 + 22*c + 62. Calculate d(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 28 = 21*v. Sort -4, 1, v, 0 in descending order.\nAnswer: v, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6)*33\/(-2). Suppose 4*t = 5*t - x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2407 + 13541. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 11:21 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/45030 and 197\/2280.\nAnswer: 180120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53, -81, -97, -95, -69, -13?\n\"Answer: x**3 - 35*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29035.36 millilitres to litres.\nAnswer: 29.03536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484205.\nAnswer: 3, 5, 98947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2\/9 + 17746*g\/9 = 0.\nAnswer: -8873, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/39 - -1) + (26281\/(-1066) - -23)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 17*t = -15*t - 1410, -3*t - 725 = -2*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57001 - -56996.0078. Let c = 7.9 + -2.9. Let n = b + c. Round n to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*n + 36*n. Solve -3*j + 18 = 3*z, 0 = 3*j - n*z + 2*z - 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(19) + 3*(sqrt(19) + -1) + 3)*-4.\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 18*h - 13*h. What are the prime factors of 28\/84 - 1498\/h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f - 1\/2*f**2 - 1\/3*f**3 - 66 + 7\/4*f**5 - 1\/12*f**4. Determine b(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -301*q**3 + 0*q**2 + 2951*q - 2952*q - q**2 as i*q + o*q**3 + g + r*q**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**9\/d*d))\/d**35)\/(d\/d**(-1\/42))**(-17\/4) assuming d is positive.\nAnswer: d**(-6661\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.34 and -1168.4.\nAnswer: 1565.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -13. Suppose -4*h - p = 9, -4*h = 3*p + 3 - 0. Let f be (h - -2)*(-7)\/1. Are f and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 11*v + 503. Let y(a) = 4*a + 169. Give -6*l(f) + 17*y(f).\nAnswer: 2*f - 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132784 is divided by 231.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/14 (b) 7 (c) 2 (d) 3\/5 (e) -1\/2 (f) 5 (g) -85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -771, -1535, -2289, -3027, -3743, -4431, -5085?\nAnswer: -5699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = g - 4*s, 2 = -4*g - s + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 5:56 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x + 2*n = -60*x + 8, -3127*n = -3129*n + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 358*j + 5374. Let r be f(-15). Put 7, -40, -5, r in descending order.\nAnswer: 7, r, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 28, 54, 94, 148, 216?\n\"Answer: 7*p**2 - 9*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 12980558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by (-22)\/(-6)*(-2 - (-9 - -4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/424 and -35\/22?\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (1 + 5 - (30 + -25)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507*s**2 - 838*s**2 + 482*s**2 + 530*s**2.\nAnswer: 681*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16304 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-27)\/15)\/3)\/(3\/15). Let n(t) be the first derivative of t**3\/3 + t**2\/2 + 3*t + 2. What is n(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*w)*(3 - 9 + 4) + w + w - 3*w + 1.\nAnswer: -5*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by (-2)\/(-10) + 4\/((-40)\/(-58))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1335626, -2671250, -4006872, -5342492?\nAnswer: -6678110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**4\/4 + v**3 - v**2 - 3*v - 188. Let q be (-36)\/(-8)*4\/(-6). What is the units digit of j(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 times 19681\nAnswer: -885645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 2 = -y + 3*b, 2*y + b = 9. Solve 3*m - y*t = 13, 2*t - 8 = -2*m + 4*t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 530*d - 1434. Let g(i) = 507*i - 1432. Let w(t) = 6*g(t) - 5*p(t). Differentiate w(a) wrt a.\nAnswer: 392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4103, -8206, -12309?\nAnswer: -16412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28968\/272*8\/(-12). Which is the smallest value? (a) -0.4 (b) -1 (c) p (d) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 7*i**2 + 5. Let b be s(7). Find the third derivative of 128*a**4 - 26*a**2 - 128*a**4 - 12*a**b wrt a.\nAnswer: -720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 7*r - r + 11*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g + 0*g)*(-63 + 52 + 30)*(2*g - 5*g + 0*g).\nAnswer: -57*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 - 0 - 6167628\/(-89281).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163133407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = 6. Suppose -2*f - 3*s + 6 = 16, -2*s = 2*f + h. What is the units digit of (f - 42)\/(1 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 27 (c) -12 (d) -9 (e) -2\/15 (f) 0.3 (g) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 5*w = -85, 7*w + 81 = -4*y + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203405?\nAnswer: 5, 17, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1200, -1501, -1802, -2103?\nAnswer: -2404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 369865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkwkwkkkkkkkwk. What is prob of picking 3 k?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 1:57 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14858 - 1796. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 6. Suppose j - 2*r = -l*r - 6, -10 = -5*r. Suppose 0 = 6*f - f. What is the second biggest value in -3, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 7:29 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -17*f**2 + f + 2. Let n(o) = -3985*o**2 + 7 + 3935*o**2 - 3*o + 6*o. Determine -7*l(k) + 2*n(k).\nAnswer: 19*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 212*y**2 - 52*y - 51. What is the tens digit of l(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 b, and 2 j when four letters picked without replacement from gleglpljjjbj.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:30 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4789 divided by 2\nAnswer: -4789\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (143\/(517803\/1704))\/((-4)\/(-238))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8808 = -9*r - 3*r. Let p = 5147\/7 - r. Find the common denominator of p and (76 - 2)*(-3)\/(-132).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 4*c - 11, -3280*w = 2*c - 3283*w + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 250*o + 1749. What is l(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 248418218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 0*y - 3*y**2 + 0*y**3 + 1\/40*y**4 + 0 + 1\/100*y**5. Factor h(u).\nAnswer: 3*u*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1019315 divided by -6\nAnswer: 1019315\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 877983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 104?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41\/3, 2\/3, -0.3, 7.\nAnswer: -41\/3, -0.3, 2\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.413705*-519.\nAnswer: -214.712895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (0 + 1 + -1). Let o(c) = -63*c**2 + 110*c**3 - 23*c**3 + 48*c**3 - 1 + 120*c**2 + 2*c - 59*c**2. Is o(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u - 24*u = -5*n - 29, -3*n = -3*u + 21 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.1, -53.3, -74, 1\/5.\nAnswer: -74, -53.3, -5.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5338*t + 86450. Determine a(-16).\nAnswer: 1042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**3\/7 - 4*c**2\/7 + 3*c\/7 + 18\/7 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -20?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11*1.31\nAnswer: -14.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2*(3\/3 - -37). Let o = 23 - g. Solve 2*k + o*n = -3*k, 0 = -3*k - n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 6376972307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 438 + -438.00000917. What is m rounded to seven dps?\nAnswer: -0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 4*a**4 + 7 + 16 + 2 - 129*a**2 in the form g*a**4 + r*a**2 + z*a + x*a**3 + i and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = -38*s - 205440000. Round s to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 14) to base 15\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 5\/6*f**3 - 1\/2*f**2 - 1\/12*f**4 + 3*f + 0. Calculate v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d\/(d*d*d**(2\/11))))\/d)\/d*d*d\/(d\/(d**(1\/7)*d*d)))\/(d\/(((d\/(d*d**(-7)))\/d*d)\/d)*(d*d*(d\/(d*d*d*d*d**(-2\/3))*d)\/d)\/d*d) assuming d is positive.\nAnswer: d**(2231\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 457\/1354?\nAnswer: 457\/1354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*w - 2*w = 40, 0 = -4*w + 4. What is the remainder when 82 is divided by 187\/u + (-4)\/(-18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(588) + (1*sqrt(588)*-3 - sqrt(588)))\/((((2*sqrt(594) - sqrt(594)) + sqrt(594))\/sqrt(11))\/sqrt(9)))**2.\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -96*a - 704. Let u(c) = 5*c + 37. Let k(o) = -3*n(o) - 56*u(o). Let q be k(-5). Suppose q = 11*b - 14733 - 18652. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.107276 grams?\nAnswer: 6107276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 319019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 50 - 239 = 32*h + 288, -70 = 4*h - 2*r for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 254 - 202. Solve -50*j + 2 = -c*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212 + 514 = 82*k - 258 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55 + 6?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -376, -359, -330, -289, -236, -171?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8756 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 11) in base 10?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -12 + (0 + 11 - ((81 - -14) + -15))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**3\/4 - 795*r**2 - 168540*r - 11910160 = 0. Calculate r.\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.43934 - 0.445. Round z to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/4)\/(o**1\/o))\/(o**(3\/14)*(o\/o**4)\/o) assuming o is positive.\nAnswer: o**(141\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (-8)\/(-6))*(-2 + -1). Sort -1, u, 0, -5 in increasing order.\nAnswer: -5, u, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1246, 0, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*f - 201 - 990 = 0, -q = -2*f - 243. Let o = -157 + q. Suppose -k + 231 - o = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1\/4, 22.25, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - 2*b**5 + 0*b**3 + (2*b**2 + 2*b - 2*b)*(2*b + 1 - 1)*(3*b**2 + 5*b**2 + 0*b**2).\nAnswer: 30*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -14. Let h(t) = 5*t - 4 - n*t**2 + 5*t**2 - 2*t. Let j be (-5 - 1)*7\/14. Calculate h(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936 a factor of 174398752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2940 and 71\/1456280.\nAnswer: 4368840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**2 + 91*b**3 - 94*b**3 - b + 62 + 8*b**2 - 2*b**4 + 0*b**2 to t + y*b**4 + g*b + j*b**3 + z*b**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6473889 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 4*i = 7, 2*m - i + 2 = -0*i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3168 and 1818630?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i - 5*i - 9*i + 38*i.\nAnswer: 55*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 + -10221?\nAnswer: -10303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**3*t**4 + 2841*q**3*t**2 - 1881*t**4 wrt t?\nAnswer: 48*q**3*t - 45144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7518 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18 + 15)\/(3\/(-70)). Calculate the highest common factor of g and 2870.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 3504?\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 11:20 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370*c = -215*c - 579080. Calculate the least common multiple of 64 and c.\nAnswer: 29888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from gooogugogooto.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-280)\/16*(155\/(-70) + (-1)\/(-2)). Suppose -4*o - 5*r + 15 = o, 0 = 2*o - 3*r - 21. What is the greatest common factor of o and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujnerou. Give prob of sequence oj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from ffhhfhwhfhhhjhfji?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13380 = -51*u + 81*u. List the prime factors of u.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 + 1) - (1 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 51*o**2 + 6*o - 336. Give g(51).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*r + 25 = 0, -w + 5*r = -4*w + 39. Let o be (222\/w)\/(3\/36). Suppose o = -f + 1582. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -13. Let s = 5 + k. Let u(i) = -21*i + 4. Is u(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = u - 1. Suppose 1 = -4*y + 5*j - 2, -3*y + 4*j - 1 = 0. Let b be -1*(3 - 1) - y. Put u, 0, b in ascending order.\nAnswer: u, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*b = 477 - 325. Let 2\/5*i - b*i**2 + 6\/5*i**3 + 2\/5 = 0. Calculate i.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8147936 - -22?\nAnswer: -8147914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4)*2)**2 + (sqrt(5)*2*-4 - (0 + sqrt(5) + 5)) + -5.\nAnswer: -9*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90 + 419. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 12. Let n be p(-14). Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 + 71. Are -1\/26 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**(-36)*(w\/w**(-1))**10 assuming w is positive.\nAnswer: w**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 8. Let u be j(6). Let l(s) = -s**2 - s - 1. Let z(o) = -10*o**2 - 12*o - 10. Suppose -1 = -g - 0. Let b(d) = g*z(d) - 12*l(d). Calculate b(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 8 + -2 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 5*d - 15, 5*x = -696*d + 693*d + 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + -109. Let p = 18.6 + -5. Let u = p + k. Put u, -3\/2, -0.3 in increasing order.\nAnswer: -3\/2, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + q**2 - 53*q + 287. Give x(5).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010240582 to four decimal places.\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, q: 4, n: 2}. Give prob of picking 2 n and 2 a.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -514 - -514. Suppose 5*g + 8*d = 5*d + 30, b = 3*g - d - 32. What is the least common multiple of 216 and g?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 5*z + 275. Let p be i(14). Suppose 0 = -n + 6*h - h + 13, -h - 33 = -4*n. Solve -p*o + n*o = 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*j + 2592 - 126 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 46\/15*a**3 - 1\/15*a**4 + 0 + 48\/5*a**2 - 27*a. What is f in g(f) = 0?\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482 is divided by 85?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 63. Suppose s*p = -t + 8, -18 = -5*p - 4*t - 7. Solve o + 4 = -p*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**6\/120 + j**5\/12 + 5*j**4\/24 + 7*j**3\/6 + 5*j**2. Let c be s(5). Suppose 5*l - c = l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n. Let w(x) = 2. Let d(c) be the third derivative of -c**5\/20 + 8*c**3\/3 + 25*c**2. Let t(b) = -3*d(b) + 24*w(b). Determine f(t(j)).\nAnswer: -63*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 14, n: 5}. Give prob of sequence nll.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by -136471.\nAnswer: -37\/136471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4958 by 4.\nAnswer: 2479\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*r + 65 + 63 + 60 - 194 as b + t*r and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1540 and 30536660.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -0.0933, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126502677*t**5 + 471847937*t.\nAnswer: 2530053540*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {l: 9, r: 11}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*11\/(-132) + (-5644)\/(-2176)?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from oaooaaoauaa?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 + 128 = -4*x. Put -5, 1, -12, x in increasing order.\nAnswer: -12, -5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/126 and 93\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*f = 4*x - 8, 3*x - 11 = -5*f. Suppose -3*t + 3 = a - 4, x*a - 2 = 0. Solve 5*q - 22 = 2*v, v + 2*q - 15 = -t*q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000226696 rounded to 6 dps?\nAnswer: -0.000227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2) + 16 - (1532 + -1467)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p, 2*j - p + 6 = -3*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, a: 2, s: 3}. Give prob of sequence ajs.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-442)\/(-39))\/((-2)\/(-117)).\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2 and (((-75)\/2)\/(-1))\/21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9163930, 9163931, 9163932, 9163933, 9163934, 9163935?\nAnswer: 9163936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-12))\/((-4)\/18). Let t(c) = 2*c - 6. Let q be t(z). What is q rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/3 and 21\/20562872.\nAnswer: 61688616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 740027064 or 740027065?\nAnswer: 740027065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19309*i**2 + 3*i - 2*i - i + 19191*i**2 + 3.\nAnswer: -118*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -70193*-32\nAnswer: 2246176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*i - o + 45, -5*o = 5*i - 65. Solve i*h = 19*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 632 + -591. Let t(y) = 128*y**2 + 8*y + 3. What is the remainder when t(2) is divided by m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 497*o**4*w - 5*o**4 + o*w**2 - w**2 + 635 wrt o?\nAnswer: 1988*o**3*w - 20*o**3 + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/12*197865\/(-60) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(464\/(-12))\/(-29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f - 130 = -15*f + 286 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((25 - 22) + (-3 - 1) - -22) + -7\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 3*r**2 - 4*r + 2. Let q be a(4). Suppose k - 15 = -q. Suppose k = n - 54. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.7 - 6.7. Suppose 4*o + 4 = 5*o. Which is the nearest to 12? (a) y (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 13227\nAnswer: -13227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6286167 divided by -698463.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times 2?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v - 1. Let u be i(0). What are the prime factors of (-3 - (-1)\/(u\/(-2)))*-55?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = 7*u - 22*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 16 = 56. Suppose m = -r - 3*t, 2 - 6 = t. Does 9 divide r\/(1 - -2)*-29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5*k**3 + 13*k + 3*k**2 + k**3 - 14*k to o*k**3 + l*k**2 + p*k + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*b**2 - 4)*(7 + b - 7).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*y + 6*o - o, 3*y - o - 7 = 0. Suppose -g - 3 = -5*s + 16, -5*s + y*g + 18 = 0. Calculate the greatest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*i + 135, 3*i - g = g + 77. Is i - 0\/(3 - 0) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 58, -387 in decreasing order.\nAnswer: 58, -2, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s. Let h(p) = -4*p - 9. Let i(y) = y + 2. Let g be (8 + -2)*2\/(-3). Let o(c) = g*h(c) - 18*i(c). Calculate l(o(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22446 divided by 3\nAnswer: -7482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((3\/13)\/((-1)\/(-13)))\/(-7). Which is the smallest value? (a) 4\/9 (b) 7 (c) 0 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -5221\nAnswer: -4\/5221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*r**2 + 3*r**2 - 6*r**2 - 32 - r**2 wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 533*o - 761*o - 653*o**2 - 736*o wrt o.\nAnswer: -1306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16522 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -37*l**2 + 21*l**3 - 76*l**3 + 20*l**3 - 143*l**2 + 38*l**3 = 0.\nAnswer: 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1015050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b + 9. Determine p(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2035 is divided by 256.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 200132\/11 < -28\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 158449024 to the power of 1\/2, to the nearest integer?\nAnswer: 12588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95112 is divided by 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.1229, -2\/5, -319?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158 + 177. Suppose -2*q = -7*q + 5*f + 50, 0 = 5*f - 5. What is the remainder when u is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 141185, 564740, 1270665, 2258960?\n\"Answer: 141185*o**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 5.76. Let r = 0.24000018 + l. Round r to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -28*o**2 - 3*o + 57. Let w(q) = -15*q**2 - q + 28. Let x(l) = 4*j(l) - 9*w(l). What is the units digit of x(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -19*g - 1. Let w be x(-2). Let r = w + -34. Suppose r*o + 109 - 970 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2790021850 to the power of 1\/3, to the nearest integer?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 151410 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4502, -8380, -12258, -16136, -20014, -23892?\n\"Answer: -3878*d - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 289, -1, 9425 in ascending order.\nAnswer: -1, 289, 9425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + (66 - -20) - (3 - -22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.4809 from -0.4.\nAnswer: 11.0809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.765927 to three dps.\nAnswer: 0.766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-3))\/(-45*8\/(-1296))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 274*g + 2*g**3 + 6*g**2 - 14*g**2 + 10*g**2 + g**4 + 3*g**2 + g**3 to i*g + c*g**4 + t + p*g**2 + r*g**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*v = -26, -v - 28 = -4*t + 21. Suppose t + 1 = 2*z. Find the common denominator of z\/11*(-145)\/(-20) and -57\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2286 - 858 + 756 = 796*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1. Let i(b) = 45*b + 75. What is -i(w) - 75*j(w)?\nAnswer: -45*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 915, 1826, 2737, 3648, 4559?\nAnswer: 5470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:43 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from {o: 6, n: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7056039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8494.044l?\nAnswer: 8494044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/18? (a) -3\/4 (b) -6026 (c) 33\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eoce when four letters picked without replacement from {e: 2, p: 3, c: 3, f: 4, o: 2, y: 4}.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 368\/739 or 0.02?\nAnswer: 368\/739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 8*a + 9. Let o be m(7). Let v be (-1 + 2)\/(o\/6). Suppose 320 = v*c - 2*k - 145, 0 = -2*c - 2*k + 310. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.129*0.115.\nAnswer: -0.014835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvdto. What is prob of picking 1 v, 1 o, and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*101\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1753 (base 11) to base 2.\nAnswer: -100010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/5)\/(4\/(-10)). Let d(y) = 1 + y**z - 1 - 5*y + 6*y. Calculate d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 3*n + 0*n + n**2 + 2 - 7*n. Let p be y(-3). Suppose 2*d - p = 11. What is the least common multiple of d and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**4)\/o*o)**10)**(-43)*(o**(-2\/21)*o**(-7))\/(o**(-1\/7)*o**(-5)\/o*o) assuming o is positive.\nAnswer: o**(27049\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*k - 167, 4*z - 220 = -4*k + 8*z. What is the remainder when k is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204 (base 7) to base 14\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174832 or 2797293\/16?\nAnswer: 2797293\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9977)\/((-6)\/(-180)*-10)?\nAnswer: 3, 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*c + c. Let t be c - -3 - 4\/(-6). What is the biggest value in t, -0.2, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/120 + r**5\/12 - r**4\/24 - r**3\/6 + 2*r**2. List the prime factors of k(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 208, 807, 1794, 3169, 4932, 7083, 9622?\n\"Answer: 194*x**2 + 17*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28220*g**3 + 4*g**5 + 443*g**2 - 2*g - 6*g**5 - 534 - 28220*g**3 wrt g.\nAnswer: -40*g**3 + 886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from {q: 4, h: 9, j: 2, b: 1, w: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(1 + -4 - -18). Suppose -5*x + 2*x = -o. Solve 3*q - 18 = -3*a, -x + 30 = 4*a + 2*q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 171, 616, 1335, 2328, 3595?\n\"Answer: 137*y**2 + 34*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -401003 + 401003 + 883*q to the form n*q + f and give n.\nAnswer: 883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/17)*a\/(a*a*(a**(-2\/7)\/a)\/a)*a)\/(a**(-2)*a**(1\/3)\/a)*a**(2\/3)\/a**0*(a\/((a**(-2)\/a)\/a*a)*a)\/((a**3*a)\/a) assuming a is positive.\nAnswer: a**(2678\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 11*l - 10. Calculate the remainder when 102 is divided by y(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 164280.299986 + -164280. Let p = -0.3 + l. What is p rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 65. List the prime factors of ((m\/(-2))\/(-1))\/(35\/1120).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -525312114 + 1?\nAnswer: -525312113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17726?\nAnswer: 2, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*10*4\/(-10). Suppose -w*h = z - 22, 5*z + 0*z + 4*h - 30 = 0. Let d be (-48)\/8*z\/(-4). Solve 0 = d*s + 5*u - 14, -4*u + 13 = 3*s - 0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -865179, -1730831, -2596481, -3462129, -4327775?\nAnswer: -5193419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 67, 73?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*g**2*h - 9*g**2 + g*h + 910*h wrt g?\nAnswer: 122*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*u = 183*u - 24. Put u, 0, -10, -3 in descending order.\nAnswer: u, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138048889596928 - 301382813812423757681\/2183160. Let d = n + 1\/38985. Let m = d - 17\/8. Which is the second smallest value? (a) m (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(78)*4 + sqrt(78) + sqrt(78) + (sqrt(78) - (sqrt(78) - (sqrt(78) - -2*(sqrt(78) + sqrt(78)*-3 - sqrt(78))))))\/(2*sqrt(72)\/sqrt(192)*-4).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 0 + 0*j - 2\/3*j**4 - 3\/20*j**5 - 1\/24*j**6 - 156*j**2 + 1\/6*j**3. Find the second derivative of x(i) wrt i.\nAnswer: -30*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 - 6*p**4 + 4*p**3)*(-4*p + 2*p + p) - 4*p**2 + 4*p**2 - p**5.\nAnswer: 5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5019 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/7 - 12308*g\/7 - 24632\/7.\nAnswer: 4*(g - 3079)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 389320998 and 14124.\nAnswer: 7062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**5*y**13)**(27\/2)*((y**(-2\/5))**(-2\/13))**(1\/37) assuming y is positive.\nAnswer: y**(584423\/4810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1211 + 833. Let u = -377.99773 - o. What is u rounded to 4 dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1322748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 - 4162*l**3 + 6814*l**3 - 2*l**2.\nAnswer: 2652*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/44 - (-105)\/132. What is the nearest to -1 in 1\/17, -2, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 7:50 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -10*c**5 - 78*c**4 - 116*c**3 - 48*c**2 = 0.\nAnswer: -6, -1, -4\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-4*sqrt(84)*2)\/(sqrt(84)\/sqrt(175)) + -1))**2.\nAnswer: 2000*sqrt(7) + 280025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26529?\nAnswer: 3, 37, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 430*o + 784*o - 425*o - 40 + 321*o + 43 to y*o + q and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*p*x + 3*f**2*p - 1550*f**2*x + 12*f**2 - f*p*x + f*p with respect to x.\nAnswer: -f**2*p - 1550*f**2 - f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175568?\nAnswer: 2, 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*h - 28 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7587 and 745493.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4\/3 (b) 677 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 101000 (base 2) to base 15\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007758 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*i + 54*i - 11242104 = 104*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1527 + -22849\/15. What is the common denominator of -31\/12 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -516 at least as big as -470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9552 + -4?\nAnswer: -9556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406661 (base 7) to base 6.\nAnswer: 1254155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8909 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675*s = 607*s - 1451*s - 42532 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180*u**5 + 325*u**3 - 3175*u**2 + 2*u + 5 wrt u.\nAnswer: 10800*u**2 + 1950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102138667 to the nearest integer?\nAnswer: 10106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45773699 to the nearest integer?\nAnswer: 6766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + sqrt(847)*-2*-6*-3)**2.\nAnswer: -792*sqrt(7) + 1097713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 - 16 - 53*s**4 + 10 + 2*s + 8 - 5*s**2 in the form m*s**2 + o*s**4 + q + x*s**3 + d*s and give o.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 143771 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) 0.191 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 + (-12 - -17)) - 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) -2 (c) 68 (d) 0.06 (e) 0.3 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-13)*s\/(s**(5\/6)*s)*s*s**(-9)*s*s*s\/(s\/((s*s\/s**(-2))\/s)*s)*s*s assuming s is positive.\nAnswer: s**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4758647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 3:52 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 1. Let s be -3 - (1 - 5) - -2. Let u(m) = -m**4 + m + 2. Let f(l) = s*u(l) + 6*d(l). Find the second derivative of f(a) wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 12 - 6 = 0. Let b(j) = 6*j - 9 - 4*j - 4*j. Calculate the remainder when 4 is divided by b(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 354819131?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {b: 11, l: 4, d: 3}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4258506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 366, 3 in decreasing order.\nAnswer: 366, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 + 2 + (3 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 34*t - 18. What is the remainder when s(-32) is divided by 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.081, -6, -0.3, -42, -3\/2?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158*d - 440*d + 90*d)*(-3 + 2 + 0 + (0 - 3 + 2)*(1 - 1 + 2))*(-4 + 2 + 4 + (0 + 0 - 2)*(3 + 0 - 1)).\nAnswer: -3048*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-15)*(45 + -50)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4*4)\/4 + 7. Let a(y) = -2*y**3 + 2*y**3 + 6*y**2 - 8*y**2 + 1 - s*y**3. Give a(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*q + 225 - 246 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndad when four letters picked without replacement from ndadddddnddnddd.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffhbfbfbhf. What is prob of picking 3 f and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 6*c + 19 + 2*c + 3*c. Suppose 2*u + 16 = k - 2*k, -5*u = 2*k + 40. Let z be j(u). Solve 3*o + 18 = z*x, -2*x - x = -4*o - 22 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.03 (b) -0.06 (c) -13 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -165 + 97. Let r = 67.9999751 + b. What is r rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -136\/7, 5, -2, -1\/715?\nAnswer: -1\/715","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 10 + 70 = 0. Suppose -3*m = -5*x - 5 + 25, k = -4*m + 4*x. Does 11 divide (-4)\/(-10) + (-489)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -4 + -10 + (4\/5)\/(19\/95)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16551, 33043, 49535?\n\"Answer: 16492*o + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)*f\/(f*f\/f**(-2\/9)))\/(f*f**0*f\/(f*f**6\/f)) assuming f is positive.\nAnswer: f**(193\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 + 4 - 207*l**2.\nAnswer: -207*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/3)\/((-3)\/63). Is (1 - -8) + (5 - y) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oottotttotooottt. What is prob of picking 1 t and 2 o?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9132931 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*((t*(t*t**(-1\/2)*t*t)\/t*t)\/t)\/t)\/(t\/(t**(-3)\/t)))\/(t**1*t)**(-2\/73) assuming t is positive.\nAnswer: t**(-357\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223*-0.01.\nAnswer: -2.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**3 - 3*t**2 - 3*t + 3. Suppose 0 = -4*a + 8 + 12. Let l(v) = -a*v**2 + 7 - 6*v + 9*v**3 + 1 - 1 - 2. Determine -3*l(z) + 5*u(z).\nAnswer: -2*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) 2 (c) 3\/17 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10*s + 9. Let j(r) = 29*r - 26. Let k(z) = 8*g(z) + 3*j(z). Let x(v) = 20*v - 17. Give 11*k(q) - 4*x(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -689 + 689. Suppose q - 2*z = 2*q - 23, 2*q - 58 = 2*z. Let i be 2\/(-9) - (-33)\/q. Solve b = d + 2 - i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, l: 6, s: 2, w: 1, u: 1, t: 5}. What is prob of sequence lwz?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5354 and 3?\nAnswer: 16062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**7\/40 + k**6\/80 + 9*k**2\/2 - 8. Let y(f) be the second derivative of s(f). Factor y(t).\nAnswer: -3*t**3*(7*t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + -72. Suppose -4*q = 4*w, 2*q + c*w + 8 - 2 = 0. Solve -2*n + 5*a + 5 = 0, -q*n - n + 13 = -2*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 19 = 11. Find the common denominator of 33\/8 and (-46)\/5 - u\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/63 or -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -55214 (base 13) to base 8\nAnswer: -455041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 5*y - 4. Is 7 a factor of l(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 6:01 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = -x. Suppose x = 5*q - 3. Does 19 divide 1 - q*78\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 377090?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-80144)\/(-108) + (-66)\/891. What is the greatest common factor of j and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 2:49 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 - 2)*(-2*f + 0*f + f) - f + 3*f - 4*f)*(5 - 4 + 2*f - 3) to s + z*f**2 + c*f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 78*m**2 + 60*m - 128. Is w(151) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19456633303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b4 + 5?\nAnswer: -ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/24 - (-67)\/12 - -4 and -45\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -975\/7 + 139. Suppose 0 = 4*c - 5*c + 5. Suppose -2*n - c = -7*n. Is n smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 22 = 77. Calculate the smallest common multiple of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -13, -8, 9, 44, 103, 192, 317?\n\"Answer: g**3 - 3*g**2 + g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996184.\nAnswer: 2, 7, 17789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -0.1 (c) -1 (d) -12751\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -172 + 167 + (-11 - 1 - -1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - j + 12. Let w be 1\/2*j + 48. Suppose 0*p = 2*p - 3*r - 5, -w = -5*p - 5*r. Calculate the remainder when p is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-79)\/(-790)*((-372)\/70 + (-16)\/40)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11267 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4\/5 - 1451493*t**3\/5 + 1451496*t**2\/5 = 0.\nAnswer: -483832, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 178 = 77. Suppose -3*o = -2*x + 79, 3*o + 2*o + l = 2*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - -19. What is the remainder when 0\/(-2*2) + o is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 23*f - 19. What is t(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = 14 + 14. Let u be 4\/5*(-3 - -1) - j. Put -2\/3, 3, 0.1, u in descending order.\nAnswer: 3, u, 0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -45 + 9 + 10 - (-5 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 26*k + 435. Let d(u) = -2*u**2. What is j(d(x))?\nAnswer: -8*x**4 - 52*x**2 + 435","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 54?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168114607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: cb (base 13) to base 4\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6318986 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -411*n + 9. Suppose -4*c - 49 = 3. Let i be o(c). Let k be (-4)\/(-10)*(i - 2). What is k rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence liil when four letters picked without replacement from {i: 7, l: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cscs when four letters picked without replacement from {c: 2, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 339*h**2 - 37*h - 191. Is r(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/((-750)\/(-495))*(4\/(-6) + 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 4, 2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -23.35, 4\/3, 3\/7, 2\/11, -4 in decreasing order.\nAnswer: 4\/3, 3\/7, 2\/11, 0, -4, -23.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16213 (base 7) in base 13?\nAnswer: -2104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1 - 8\/36 - 1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*p**6 - 2078*p**4 - 40651*p**2 wrt p.\nAnswer: -2760*p**3 - 49872*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30\/((-42)\/(-147)*28\/12) is divided by 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 2*c + c)*(-2*c - 3*c + c) + (-1 - 14 - 8)*(2*c - 4*c + 0*c)*(c - 5*c - c).\nAnswer: -246*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005153771 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j**2 - 6*j. Let u(x) = -3*x - 546*x**2 + 563*x**2 + 14*x. What is 11*i(m) + 6*u(m)?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h - 9*h - 14*h - 22*h - h - 22*h + 82*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, n: 3}. What is prob of picking 1 n and 2 l?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 + 4*x**2 + 11*x - 12. Let v(h) = -h**3 - h**2 + 2. Determine -m(t) - 6*v(t).\nAnswer: 3*t**3 + 2*t**2 - 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -167*o**2*q**2 - 6*o**2*q + 4*o**2 - 2*q wrt q?\nAnswer: -334*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -937 + 514 = -9*k. Sort 0, k, 5 in decreasing order.\nAnswer: k, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*u = 355 + 205 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 700\/(-24)*10\/14 and -3 + 4 + 195\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*((-35)\/(-5))\/14)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.3 - -22.3000391. What is w rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 55. Let h = r - -566. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8191790, 32767173, 73726144, 131068703, 204794850?\n\"Answer: 8191794*y**2 + y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 44?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75.709 - -5.689. Let v = i + 70. What is v rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.21, -2\/3, 2, 1?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Suppose 4*i - 6 = j*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 8*g - 6. Let a be j(-7). Let d be a + -1 + 31 + 0. Suppose -k + 1 + d = 0. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d**3 - 5*d**2 + 42*d - 1. Let h(p) = -6*p**3 - 6*p**2 + 37*p - 1. Let c(v) = -6*h(v) + 5*n(v). What is c(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 83541420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-28)*-6)\/(42\/(-32)*-4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 28 = -2*d, -4*t - 13*d + 11*d = 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 1:13 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 485 - -2999. Let j = -1987 + i. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*z - 32507 = 640*z + 13860 - 5963 for z.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1268 is divided by 67?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/49*(-1848)\/3036\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 14*d**2. Let s(l) = -48874*l. Determine s(j(u)).\nAnswer: -684236*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arszzzsvaza. What is prob of picking 2 a, 1 s, and 1 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 9 + -7 + (3 - 3) + -26?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z - 4*z - 2*z + (6 - 2 - 3)*(-2 + 2 - z) - z + 3 - 3 + 0 - 3*z + 0 + 10*z - 12*z - 1 - 15*z.\nAnswer: -24*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.5 (b) 0.4 (c) -5.607 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - (-2)\/2*-4. Suppose -n*s - 510 = -z, 0 = 5*z - 4*s - 2209 - 363. List the prime factors of z.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) + 88\/(-12). Let s(l) = l**3 + 9*l**2 + 10*l + 6. Let c be s(h). Let j = 78 - c. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*a + 46*a - 491 + 31 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuxuuuuuu. Give prob of sequence xu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q*q**11))\/q)**(31\/3) assuming q is positive.\nAnswer: q**(-341\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 5:01 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, m: 4, k: 2}. Give prob of sequence hm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 13 = -7. Suppose d + 2*w = 9, x*d - 32 = 4*w - w. Suppose -y - n - n = d, -5*n - 19 = y. Solve a + 0*a + 11 = 2*s, 3*s = -2*a - y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*-1*9\/12*72*32\/864.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*i - 1146 = -700*i + 1051*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -4 + 2*y**2 - 2\/3*y**3 - 3*y. Let w be j(3). Sort 5, w, -1.\nAnswer: w, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3162\/17*(-2814)\/1876*4\/18?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 10. Suppose 248*t - 255*t + 28 = 0. Give o(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34075837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c - 61*c + 26*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 8631554*t**3 + 0*t + 8631566*t**3.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 38 - (-28 + -39)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**7\/840 - f**6\/360 + f**4\/4 + 2*f. Let v(p) be the third derivative of x(p). Find the second derivative of v(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e396 - 9?\nAnswer: e38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -7, -2, -2\/11 in ascending order.\nAnswer: -7, -2, -2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b + 7. Let i(a) = -4*a - 10. Let g(y) = -5*i(y) - 7*l(y). What is the remainder when g(-1) is divided by (69 + -67)*(6\/(-21) + (-9)\/(-7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16865 is divided by 890.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.481 - -0.381. Suppose 2*q = -2*a, -28 = -6*a + 2*a + 3*q. Let v = -177\/2 + 90. Sort v, a, k.\nAnswer: k, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 23 + 17. Calculate the remainder when 78 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4\/5 + 2392*z**3\/5 + 416356*z**2\/5 + 17566848*z\/5 + 215737344\/5.\nAnswer: 4*(z + 27)**2*(z + 272)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2031616706?\nAnswer: 2, 7, 89, 179, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 50 = 3*y, -3*y - n + 137902 = 137867 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9746478 to the power of 1\/2, to the nearest integer?\nAnswer: 3122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -51. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 5*h**2 - 4*h**2)*(-11 - 2 + 1).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -416\/11 + 38. Which is the nearest to 0? (a) 1 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n + 1116 = -4*d + 1112, 3*n + 7*d + 25 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q + 28*q = q + 134. Solve q*d - 5*i - 9 = 0, -2*d - 5*i = -d + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 89*x + 2. Let d(c) = -26*c**2. Give n(d(z)).\nAnswer: -2314*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6172000 to the nearest 100000.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 79.04047mg?\nAnswer: 79040.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*x, -13 = -g + 2*g + 3*x. Let n(y) be the third derivative of -y**6\/120 - y**5\/15 - y**4\/24 - 2*y**3\/3 - 3*y**2. Give n(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -934*m**3 - 2*m + 551*m**3 + 2*m + 646*m**3.\nAnswer: 263*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/(-18)*2)\/((-3)\/1071)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -1, -4, -3, 29, 4 in descending order.\nAnswer: 29, 4, -1, -3, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -61\/829840 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1574234 by 76.\nAnswer: -787117\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-17)*r*r**(3\/13)*((r*r\/r**26)\/r)\/((r\/(r**18\/r))\/r) assuming r is positive.\nAnswer: r**(146\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 383393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*f + 6. Find the third derivative of 28*q**5 + 32*q**f + 12*q**2 + 46*q**2 - 13*q**2 wrt q.\nAnswer: 1680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 106*s + 85. Let l be o(5). Let g = l - 215. What is the greatest common divisor of 80 and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*y - 30637 - 11803, 5*b - 70712 = -3*y. What is b rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*p - 3*p + 2*x, 34 = -5*p + 3*x. Let t be -25 + p\/20*-5. Let m = -22 - t. Solve -i - m = 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9114.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3509*h**2 + 5*h + 268.\nAnswer: 7018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 489\/116 + -115\/29. What is the closest to n in -0.4, 1.8, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 207829077.75 and -19.4.\nAnswer: 207829058.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 25. Let u(b) = -2*b**2 - 2*b + 1. Let r(f) = -4*f**2 - 4*f + 2. Let x(m) = a*u(m) + 6*r(m). Is x(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2 - t - 28. Let f(b) = 784 - 1502 - b**2 + 725. Determine -9*f(a) - 2*p(a).\nAnswer: a**2 + 2*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22\/205, -0.2, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -9, 0.5, 6, -4\/13, 0, 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-1) - -28*(2 + -1). Suppose -w = -5*r, 0*r - 806 = -3*o + 2*r. What is the tens digit of 12\/18 - o\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.82427um in meters?\nAnswer: 0.00004782427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 - 3*w - 16. What is the units digit of n(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 436.9 + -409. Let f = -28 + p. Is f <= 11\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/2117 - 209731\/156658. What is the common denominator of c and 31\/30?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -11*a - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -578325*k + 39256. Let q(g) = 707*g - 48. What is -6*h(c) - 4907*q(c)?\nAnswer: 701*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31761173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 475870151, 475870149, 475870147, 475870145, 475870143, 475870141?\n\"Answer: -2*j + 475870153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880 is divided by 196?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1036.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 s when four letters picked without replacement from ssqssqqqqsqsqqqsqqq?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396))**2*-2.\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059973?\nAnswer: 2059973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5735334 and 38190.\nAnswer: 544856730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62881232*d**5 - 4091367*d**2 wrt d?\nAnswer: 3772873920*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3769, -7540, -11323, -15124, -18949, -22804?\nAnswer: -26695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 4*l)*(-53 - 45 - 25*l + 107) as w*l**2 + b*l + n and give w.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 398, 928, 1446, 1952, 2446?\nAnswer: 2928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/22671 and 60\/32747?\nAnswer: 294723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, g: 2, b: 4, y: 2}. What is prob of picking 1 y and 2 g?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (240\/90)\/((-4)\/(-138)) is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1832965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - j**2 + 1)*(j - 1 + 1) - 4*j**3 - j**3 + 3*j**3 + j - j - j**3)*(2*j**2 - 7*j**2 + 18*j**2).\nAnswer: -52*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*p - 145. Let i = p + 27. Let o be (0\/i)\/(-4) + 0. Solve o = -0*n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 65*r + 412. Let l be x(24). Let p(v) = -v**3 + 6*v**2 - 2*v. Determine p(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1556561 + -22?\nAnswer: -1556613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - 3*u**2 + u**2 + (-4 + 1 + 5)*(-27*u**2 + 56*u**2 + 180*u**2) + 4*u**2 - 5*u**2 + 7*u**2.\nAnswer: 422*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*2 - (-84)\/(-21). Suppose -n - 4 = -2*g. Solve -g*x + 2*f - 5 = 2, -3*x = 5*f - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*-1*(-8)\/20. Let o = -2 - j. Let a be 1 + -1 + 3 + o. Solve 0*c + 3 = -a*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101001111 (base 2) to base 7.\nAnswer: -3651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4554547*s + 1550779.\nAnswer: 4554547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -673, -1474, -2839, -4768?\nAnswer: -7261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 - 5155*i\/2 - 1157513.\nAnswer: -(i + 497)*(i + 4658)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 - -107.92. Let h = -1.1 - -1.02. Let w = h - x. What is the biggest value in -0.1, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -506*m - 154749 wrt m.\nAnswer: -506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 68 = 23. What is the greatest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**12*p\/((p\/p**(-2)*p)\/p)*p*(p*p\/p**(-2\/27))\/p*p**(5\/2))**(-20))**12 assuming p is positive.\nAnswer: p**(-31480\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 5:11 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 1490*s - 619832. Determine t(416).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: a4334 (base 12) to base 3\nAnswer: 101220120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chxggxbxccgvhxv. Give prob of sequence gcxh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -7, 5, 9062 in descending order.\nAnswer: 9062, 5, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**34*(o*o*o\/(o*o\/o**(-2))*o)\/o assuming o is positive.\nAnswer: o**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (48\/21)\/(512\/2688). Factor m*f - 24 - 3\/2*f**2.\nAnswer: -3*(f - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181 - 177. Let m(a) be the first derivative of -1\/2*a**2 - l + 2*a. Let t(v) = -v. Determine m(i) - 2*t(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2) + (6 - (3 + -1)). Solve 5 = y*m + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6))\/(45\/(-135)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p - 539 + 1491 = 0 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -83009600.\nAnswer: -83009595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 4*v - 190. Calculate i(0).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43\/9 - 5. What is the closest to -1\/4 in s, 3, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.9 not equal to -2867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2872212984 to the power of 1\/4, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 0*g + 0*g + (0*g - 2*g + g)*(4 + g - 4) + g**2 + g**2 + 0*g**2 + 2*g**2 + 2*g**2 - 2*g**2 - g**2 + 3*g**2 - 4*g**2)*(-g - 3 + 3).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 5*p**2 - p - 5. Let s(z) = -1 + z**3 + 2*z**2 + 5 + z + 2*z**2. Let y(d) = 4*r(d) + 5*s(d). Let b = 37 + -37. Calculate y(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3*i = 10, f - 2*i + 18 = 28 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4610, -9218, -13826, -18434?\nAnswer: -23042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-8\/3)*s**9 assuming s is positive.\nAnswer: s**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (117 + -110 - 23\/2)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (6 - (9 + 1 + (20 + -10 - 12)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*p + 5*t, -4*p - t + 22 = -0*t. Calculate the lowest common multiple of 7 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -343427?\nAnswer: 343428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 4:32 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -45*d - 502. Let a(y) = 44*y + 405. What is 6*a(z) + 5*s(z)?\nAnswer: 39*z - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 14*m**2 + 3. Let w be u(-14). Let h = w - -3. Suppose h*v - 3*v - 48 = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 124? (a) -235 (b) -5 (c) -1272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/8 + 1)*0. Suppose -5*z + 4*z + 10 = c. What is the smallest common multiple of z and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 201765610 and 8?\nAnswer: 807062440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1039894014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**5\/5 + 158*k**4\/5 + 752*k**3\/5 + 888*k**2\/5 = 0?\nAnswer: -74, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 591434 by -1.\nAnswer: -591434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*t = -152*t - 456. Let m be (11\/(-22))\/(14\/t). Which is greater: -0.3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*n**2\/7 - 948*n\/7 + 318\/7.\nAnswer: -6*(n + 53)*(3*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 16 = -4*s + 50, -s - 3*f = -10. Solve s*b = 15*b - j - 1, b - 5*j - 29 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**2 + 4*g**2 - 5*g**2 + 2*g**3 - 3*g**3 + 3*g**3 - g**3 + (-g + 4*g - 5*g)*(g**2 - 4*g**2 + 5*g**2).\nAnswer: -3*g**3 - 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 69*p + 2. Calculate q(-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 2*k - 18 - 61 - 6*k**2 - 42 to the form d*k + b + i*k**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-45) - (-354)\/(-1593))*1\/(-23)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484401 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -21. Calculate the remainder when 447\/p + (-2)\/3 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.046 - 3.954. Sort p, -0.5, -0.3, 16.\nAnswer: p, -0.5, -0.3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0\/z*z*z\/z**5*z**(-3\/5)\/((z**(-1\/2)\/z)\/z*z)*(((z*z\/(z\/z**(-4\/7)))\/z)\/z**3)\/(z\/((z\/(z*z*z\/z**(-1\/3)))\/z))**49 assuming z is positive.\nAnswer: z**(-45991\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 22*g + 6*g**3 + 19 - 21*g**2 - 4 - 5*g**3. Does 12 divide k(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2 + 0 + 2 + 2*d**2 - d. Let w be l(2). Let u = 11 - w. Solve u*k + 2*r - 3 = 4*r, -5*k + 3*r + 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + p**2 - p + 2. Let y be j(2). Let v(k) = -4*k**2 - 3*k - 2*k**2 + 5*k**2. Determine v(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-17) - -3 - 498\/(-102)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297086 is divided by 207.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1110011001001111100 (base 2) to base 5\nAnswer: 110043201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2338.6, 1259, -0.5.\nAnswer: -2338.6, -0.5, 1259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14373, -28491, -42601, -56703?\n\"Answer: 4*v**2 - 14130*v - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*z + 34 = -2*z, 0 = 2*q - 3*z + 13. Let u = -6 - q. Suppose 108 - 54 = 18*k. Is u bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 11*x - 100 = 0. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(240) + sqrt(240))\/sqrt(12).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.13 and 0.21.\nAnswer: 1.7073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 764320 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 15*f**2 - 13*f - 15. Determine z(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4558 divided by 2.\nAnswer: -2279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**4\/3 + 232*r**3\/3 - 4162*r**2 - 143752*r\/3 + 3497767\/3 = 0.\nAnswer: -19, 13, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 1. Let r = 843 - 754. Suppose 408 = -71*x - r. Calculate j(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -2\/11 (b) 3 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z*z\/((((z\/((z\/((z\/z**(-1\/4))\/z))\/z*z))\/z)\/z)\/z*z*z)*z)\/z)*z*z)**(-3\/5)*(z**1\/z)**(3\/8))**47 assuming z is positive.\nAnswer: z**(423\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 5*w**2 + 5. Suppose 5*x - h + 86 = 0, 2*x = -5*h - 81 + 25. Let y be ((-60)\/x)\/(1\/3). Suppose 7*r - 5*r = -y. Determine n(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkmmmkkkkkmk. What is prob of sequence kmkk?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = -0. Let a = o + -1. Suppose -113 = 6*z - 143. Solve j - 2*j - a*k - 14 = 0, -4*j - 26 = z*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-136)\/(-340))\/(8\/50). What is the biggest value in v, -3, -55?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*o - 249815, 54*o - 57*o = -4*g + 199852. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1874?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {y: 1, a: 2, d: 4, f: 1, i: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x. Suppose -2*s + 7 = -r, -r + x*r + 8 = 3*s. Let u be ((-16)\/(-24))\/(2\/(-3) - r). Solve 4 = -4*i + u*i, -4*m = 3*i - 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 2, w: 2, f: 1}. Give prob of picking 2 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.78 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 43911994 and -39?\nAnswer: 43912033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13077 (base 13) to base 6\nAnswer: 431110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*q**2 - 150*q + 21*q + 20*q + 50*q.\nAnswer: -31*q**2 - 59*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 79375, 317301, 713785, 1268827?\n\"Answer: 79279*r**2 + 89*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 305 divided by -305\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 2. Let t be g(5). Suppose -3*b + 7*b = -v + 156, -28 = -b - t*v. Suppose 0*y = -5*y + b. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166500 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17\/4 (b) -1\/22 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23034408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 24*s = 30 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 36. Let u = q + 1. Let n = -43 + u. Sort -0.5, 3\/8, n in decreasing order.\nAnswer: 3\/8, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-8)\/1344*4). Suppose -100*u = -104*u + n. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 12, 29*j - 5*q - 36 = 31*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*p + 88 = -35*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4316.81 and -423749.\nAnswer: -428065.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22063 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000044896 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8588 by 2147.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 180? (a) 2\/15 (b) -0.5 (c) 2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*2142114.\nAnswer: 59979192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k. Let d(h) be the second derivative of -h**3\/6 - 6*h. Calculate d(y(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51\/10 + 23\/5. What is the nearest to -1\/6 in 4, 3\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -10*x**3 - 5*x**2 + 5*x + 29. Let m(i) = -5*i**3 - 3*i**2 + 3*i + 15. What is -5*m(g) + 3*w(g)?\nAnswer: -5*g**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/((sqrt(96) - (sqrt(96) - 1*sqrt(96) - sqrt(96))) + sqrt(96)))**2.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {p: 1, g: 4, r: 8, u: 3, x: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3, -4*p = -0*q + q - 9. Find the first derivative of 8*l**2 - 8*l**2 + p*l**3 - 1 - 2 wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000140645691 rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10235809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 112. What is the smallest common multiple of 48 and w?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 613*f**5*n**2 + 2*f**4*n**2 - 2*f*n**2 + 72*f + 3*n**2 wrt f.\nAnswer: 12260*f**3*n**2 + 24*f**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(4) + -2*sqrt(4)))**2*4.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25859?\nAnswer: 19, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2930, -2937, -2956, -2993, -3054, -3145, -3272, -3441?\n\"Answer: -u**3 - 2929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-5) + 21\/(-35). Let n(h) = z*h - 4*h - 6 - 3*h + 5*h**2 + h**3 + 0*h. Give n(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-3)\/(-3) + -6)\/(7\/(-203))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -60*f**2 - 30*f + 30. Let n(i) be the first derivative of i**3\/3 + i**2\/2 - i - 2280. Calculate -l(m) - 30*n(m).\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 1. Which is the second smallest value? (a) -2\/5 (b) 31 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:17 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 30*q - 80.\nAnswer: 5*(q - 8)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**9\/15120 + o**5\/120 - o**4\/4 - 2*o. Let u(j) be the third derivative of s(j). Find the first derivative of u(v) wrt v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 164 + 3?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632530351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4302 and 7480700.\nAnswer: 67326300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45\/2 + 223\/10. What is the second smallest value in 5\/2, s, 2\/5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -5*x + 20, g - 3*x = -2 - 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 150 - 153 + 303.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(65)\/sqrt(5))**2 + (0 + sqrt(208))**2 - (3 + sqrt(468) + sqrt(468) + (sqrt(1300)*3)**2)) + 4.\nAnswer: -11283 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 50*z**2 - 50*z**2 + (z**2 - z**2 - z**2)*(3*z**2 + 5*z**2 - 2*z**2).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -16.57.\nAnswer: 33.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Suppose 23 = 3*p - 5*o - 8, -p - h*o = -3. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*f - 22, f + 11 = 5*f - n. What is the nearest to 0.2 in f, -5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 20*a + 53. Let s be c(18). Let z(p) = -4*p + 104. What is the least common multiple of 6 and z(s)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**7)**(17\/2)\/(g**(7\/4)*(g\/g**(-9))\/g) assuming g is positive.\nAnswer: g**(263\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 14, 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -56*b - 132. Suppose -5*q - 56 = w, 0 = 3*q - 0*w + w + 34. What are the prime factors of o(q)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 14*a**2 - 1139*a - 6344. Calculate n(-39).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6642 + 3960927045?\nAnswer: 3960933687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from yvgvivnvgrrgvvr?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1420*m - 1313 = -1319*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1216 and 760?\nAnswer: 6080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89376 and 1792.\nAnswer: 715008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 539.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2532.000022785 - -2532. What is y rounded to 7 decimal places?\nAnswer: -0.0000228","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 - -1368) + (5 - (4 + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08610138946 to 3 dps.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1581912095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x**2 - x)*(2*x - 2*x**2 + 2*x - x + (0 - 5 + 3)*(-x**2 - 5*x**2 + 4*x**2) + 3*x**2 + 2 - 2 - x**2 + 6 - 6).\nAnswer: 4*x**4 + 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (4 - (5 + (-24)\/(-40)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1544073072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from zzzzzppzz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*j - 43*j = 10. Let x(d) = d**3 + 3*d**2 - 8*d + 6. Let z be x(j). What is the closest to 1 in z, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = u - 3*u. Suppose -f = u*f + 8. Let v be 3\/6*1\/4. Which is the closest to 1? (a) 1\/2 (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 31. Let o(w) = 15*w**2 + 2. Determine h(o(p)).\nAnswer: -30*p**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l)\/l)**(1\/35)\/(l**(2\/7))**(-3\/16)*(l\/l**(-2\/7))\/(l**(-5)*l)*l**(-4)\/(l*l**(-4)) assuming l is positive.\nAnswer: l**(1207\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -154, 5, -0.02, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -97934631 smaller than -97934630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/10)\/((-4)\/10). Suppose -r*w + 63 = -19. Calculate the remainder when w is divided by (-3)\/(-30)*28*5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k - 20. Suppose -v + 3 - 68 = 5*p, -k*p - 12 = 0. Let b be ((-16)\/20)\/(2\/v). Solve 2*i - b = 6*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1896 + 496 = 0. Let p(k) = 4*k - 663 - 3*k + a. What is the tens digit of p(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4759 - 4754. Solve 4*l - 11*y = -6*y + 31, 3*l - 27 = a*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -16*z**3 + 2*z**2 + z. Let d be l(-1). Let t = 121\/7 - d. Let s be (1 + 0)\/(-2) - 0. Which is the closest to s? (a) -4 (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 32389930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = -91*o + 59*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z - 28. Let r(u) = -9*u. Calculate r(b(j)).\nAnswer: 81*j + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1269731, -2539462, -3809193, -5078924, -6348655?\n\"Answer: -1269731*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021669 rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 6. Let z = i + -2. Let y = -3.9 + 4. Sort 1\/4, y, z in descending order.\nAnswer: 1\/4, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (263 - 238 + 223*j**2 - 229*j**2 - 704*j**2)*(-3*j + 4*j - 3*j) to the form n*j + p + b*j**3 + l*j**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.042 + 0.19. Let v = c - 0.032. Round v to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 9*n + 5. Let r(s) = -n*s - 3*s - 37*s + s. Let d(f) = -3*f + 2*f + 0*f + 3*f. What is r(d(v))?\nAnswer: -94*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4786499 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44594, -89193, -133792, -178391, -222990?\nAnswer: -267589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -8020860.\nAnswer: -1\/2005215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*m - 4, -d - 11 = -m - m. Suppose -m*w = -599669 - 540331. What is w rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173645 = 2380*p - 2376*p + j, -p + 2*j = -43409. List the prime factors of p.\nAnswer: 43411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 23. Let t be m\/4 + (-8)\/(-1). Let z = 4 + -2. Solve z*i = -2*i - 5*s + 30, 3*s - t = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/43? (a) -0.3 (b) 1\/5 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 22. Solve 7*b = 3*b - y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t + 25\/2 + 1\/2*t**2.\nAnswer: (t - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137*u - 137*u - 13*u**2)*(157 + 254 - 105).\nAnswer: -3978*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -67*q**3 - 24*q**2 - 9*q - 12. Let w be g(7). Let f = w + 34263. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 10*x - 49. Let n be t(12). Calculate the remainder when 127 is divided by (10\/n)\/((-2)\/215).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2989 - 26947\/9. Find the common denominator of ((-32)\/5 + 2)\/(180\/375) and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/3 - 4*n**4\/3 + 2*n**3\/3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112978 is divided by 134?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*b + 35. Suppose -1062 = -3*t - 2*v, 5*t - 1117 = -2*v + 653. Let u = t + -318. Calculate the smallest common multiple of u and b.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 56100946?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.5666?\nAnswer: -0.16998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = -15*t + 201 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l - 2*y - 12 = 0, -3*y = -l + 12. Let q be ((-18)\/4)\/((-3)\/4). Suppose -l*p - 6 = -q*p. Solve -5*z - 9 = -p*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4389915 + 49*h**3 + 4389915.\nAnswer: 49*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5765701 is divided by 1509?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11940 - 6956. Is 28 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 - 2*h. Let k be j(-1). Suppose -461 = -i - 3*n, 2*i - 4*i = k*n - 918. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sitj when four letters picked without replacement from tijittitrrristt?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 4)\/(8\/(-79 - 1)). Calculate the highest common factor of 8660 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -2*u - 740. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 98.596516 and 0.65.\nAnswer: 99.246516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -397.589995 - -397.6. Let v = -0.01 + f. What is v rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (113 + -78)*(-1 - 0).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 6. What are the prime factors of u(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -355148 >= -355147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 - 11731?\nAnswer: -11746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.474554 to 3 dps.\nAnswer: 0.475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3189 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 22*k - 158. Is 9 a factor of p(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1 (c) -3 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.253 + -28856617?\nAnswer: -28856617.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13759735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 14*d - 2. Let q be h(-10). Let k be 164\/q - (-32)\/(-336). Let a(c) = -2*c**2 - 8*c + 1. Let y be a(k). Solve t - y = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2960000 divided by -296?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 5*z + 17 + 4 = 0, -11 = -2*r - 3*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6028573 is divided by 92746?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2386736*u**4 - 5909695 wrt u?\nAnswer: -9546944*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 187.38\nAnswer: 37.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26293 + 26304 - (20 + -5 + 2 + 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.069962079 and -12305.\nAnswer: -12304.930037921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5973027 divided by 4\nAnswer: -5973027\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -19*g + 136. Calculate the greatest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 74 - 235 + 77 + 85. Let c be (4\/(-6))\/(4\/(-6)). Let k(u) = -2*u**2 - 6*u - 5. Let m(r) = c*k(r) + 2*j(r). Calculate m(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-65) + 108\/(-26). Suppose -7*j = -4*j. Sort j, o, 3 in descending order.\nAnswer: 3, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l - 10. Let n be (3 - 4)*(-17 - -17). Calculate t(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391432 a multiple of 413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.0096 - 0.0096. What is the nearest to 0.5 in -2, b, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -34*h**2. Let w(v) = -91*v. Give w(z(j)).\nAnswer: 3094*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 2*q. Let l be d(-3). Let g(x) be the first derivative of x**2 - 14*x - 21. Let r be g(10). Solve 3*t = -r + l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -1\/4, 625, 0.4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -3*c**5\/2 - c**4\/12 - 5*c. Let w be f(-2). Suppose -i = 4*i + 2*x - w, -194 = -4*i + x. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y + 7. Let x(z) = -z - 2. Let r(o) = q(o) + x(o). Let u(a) = 6*a + 4. Determine 5*r(f) - 6*u(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/4 + 355*x**3 + 14616*x**2 + 203252*x + 945308 = 0. What is x?\nAnswer: -1378, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 538461 and 3996.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/9 - 10*a**3\/3 - 152*a**2\/9.\nAnswer: 2*a**2*(a - 19)*(a + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298 is divided by (-6)\/12*45*1568\/(-168)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -23 + 39. Solve -g*w + 0*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 15*s - 6*s. Suppose 5 = 3*k + 2*j - 8, s = -2*k + j + 4. Solve -5*d + 0*d - 3 = 4*a, k*d = 5*a + 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 3:02 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 21*l + 39. Let m(u) = -9*u - 17. Let w(x) = -2*g(x) - 5*m(x). Let y(f) = -4*f - 10. Calculate 7*w(t) + 5*y(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s**3 - 26*s**2 + 14*s**3 - 20*s**3 + 26*s**2 + 4.\nAnswer: 16*s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -2*j + 33. Let h be (-4)\/(-14) - (4 + (-1206)\/(-14)). Let m = j + h. What is the nearest to 1 in m, -3, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z + 48 = 0. Is 12 a factor of (-1)\/((-26)\/z + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2, 1\/131, 10, -639?\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/630 and -32\/77.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29\/175 + -3\/25. Let f = 649 - 645. Let z = 231 - 232. Which is the second biggest value? (a) f (b) -0.2 (c) q (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 + 13 + 0*z**4 + 5*z**4 wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/12)\/((-2495)\/(-4491))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.892 - 8.292. Which is the second biggest value? (a) s (b) -52.8 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/140 and -31\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**3*w + 1330*t*w - t + 7804*w wrt t.\nAnswer: 3*t**2*w + 1330*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i + 120 = -0*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -427, -429, -431, -433, -435?\n\"Answer: -2*k - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 + k**2 - 3. Let x(l) = -l**3 + l**2 + 1. Give -b(d) - 3*x(d).\nAnswer: d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 8\/4)\/1. Calculate the common denominator of (-50)\/(-21) + (-2)\/(-2 - v) and (309\/(-8))\/((-126)\/28).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 - (7 + -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4068.9 + 4066.9. Let z = 0.2 - 1.2. Which is the biggest value? (a) w (b) z (c) -7 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1 + sqrt(171) + 0 + 1 + sqrt(171)*1 + (sqrt(171) - (1*sqrt(171) + 1) - (1 + sqrt(171) + -3)))*4)**2.\nAnswer: 96*sqrt(19) + 2755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 18. Let p be 54\/r + (-4)\/(-10). Differentiate q**p - 2 + q**4 + 4 with respect to q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11280, 11281, 11282, 11283, 11284, 11285?\nAnswer: 11286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 7*n + 8. Let j = 16 + -16. Let o be 3 + j + 33\/(-3). Let k be w(o). Solve 0 = -k*v - v + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7617, 7492, 7273, 6960, 6553, 6052, 5457?\n\"Answer: -47*t**2 + 16*t + 7648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 513448 and 1040?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 46 = 2*j, 2*d = 4*d + 4*j - 28. Suppose -4*i - d = 2*a, a + 2*a - 13 = i. What is the greatest common factor of a and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**8\/14 - c**4\/3 + 6*c. What is the third derivative of k(z) wrt z?\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84824449.\nAnswer: 29, 41, 71341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*d + 156, -4*o + 3*d = -176 + 16. Suppose o*s = 35*s + 24. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -335899 != -336541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/2418 + 524\/8122.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 4*z. Let j(f) = f. Let c(s) = 2*s - 2. Let i be c(3). Let b(o) = o**3 + 3*o**2 + o + 4. Let p be b(-3). Calculate i*j(a) + p*u(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -1 - (-7 + 9)) + -9 + 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471 - 3687 = -3*j. Suppose -4*q + 4*i + j = 0, 384 + 132 = 2*q + 3*i. Does 35 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33131 - -59824. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 1. Let t be l(0). Let m be (-2)\/(t + -1) + 1. What is the first derivative of 1 - 2*s**2 + m - 1 wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -67. Calculate the remainder when 114 is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624753005.\nAnswer: 5, 127, 983863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/9)*m*m**(-2\/9)*m**6*(m*m**9*m*m)\/m*(m*m**1)**(-14)*(m**(-1\/4))**(-39\/2) assuming m is positive.\nAnswer: m**(-401\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11754224 minus 0.2?\nAnswer: -11754224.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -369*h**4 - 4*h**2 - 880 wrt h?\nAnswer: -1476*h**3 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2430935897596336584*z**4 - 53480584323320330340*z**3 - 119323575605394*z**2 - 88743203*z - 22 = 0. Calculate z.\nAnswer: -1\/1344594, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1235 divide 65883545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 29*i**2 + 2*i - 1. Let s be t(1). Suppose -2*u + 5*v + 0*v = -s, 5*u - 96 = 2*v. Calculate the remainder when 39 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-1169)\/77) + (-2)\/60*(-912)\/(-264)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1634897 divided by -2.\nAnswer: 1634897\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -3, -0.13, 0.1, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10 + ((-473)\/(-33) - 5). Let k be -3 - (-1)\/(-9)*-25. Put k, 2\/3, t, -1.1 in decreasing order.\nAnswer: 2\/3, k, t, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 268 = 3*g + 3*o, -3*g = 4*o - 280. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31431 - 22160. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-16608)\/(-320)) + -37 + (-2)\/20\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/65 (b) -3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 1. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (96\/(-28) + 6)*21 and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/553 + -1084\/6083. Let a = 0.008 - 27.008. Let f = a - -24. Is h less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 77*j**2 - 158*j + 760. Does 4 divide l(75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3 - 1295934*b**2 - 18143625*b - 16847688 = 0. What is b?\nAnswer: -13, -1, 431992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4418*h**3\/5 + 1246252*h**2\/5 + 21208*h + 2256\/5 = 0 for h.\nAnswer: -282, -2\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19174407 or -19174408?\nAnswer: -19174407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5940, -23736, -53342, -94710, -147792, -212540, -288906?\n\"Answer: 8*b**3 - 5953*b**2 + 7*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9264 = -2*m + 9264 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 24*c**3 - 14*c**3 - 5*c**3.\nAnswer: -41*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 11) + (48 - 64) - -7\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 6 = 2*u, 3*u + u - 5*q - 15 = 0. Suppose -3*o - 3*a + 51 = 0, 0 = -0*a - u*a + 20. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1668330 and -155\/222?\nAnswer: 1668330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4\/7*t**2 + 24\/7 - 20\/7*t = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3830*m**2 + 3919*m**2 - 7693*m**2.\nAnswer: 56*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = 13744 - 1344. What is the common denominator of -89\/138 and -7 - m\/(-264)*-1?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 3:53 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 11*i**2 + 12*i + 2. Let w be g(10). Solve 12 + 3*d**2 + 9*d - w + 16 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 354288.5 years?\nAnswer: 35428.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7737464 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 2462, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 12:31 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*(-7 + 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1741*b - 1009*b - 2*b**3 - 249*b + 829*b + 37 - 34 in the form f*b**2 + r + h*b + t*b**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 8. Let a(k) be the third derivative of -k**3\/2 + 19*k**2. Give -8*a(h) + 3*w(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.047, -14, 6\/187, -1\/2, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 1624.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 120 = x, -2*x + 134 + 113 = -3*d. Suppose x*i - 127*i = -124. What is the remainder when i is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 124 = 6*l, 0 = -l - 4988*f + 4983*f - 31 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -89189.\nAnswer: 4\/89189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 0*u**2 + u**2)*(1 - 2*u - 1 + (3*u - 5*u + 0*u)*(-3 + 3 + 1) + 4*u + 3*u - 5*u - 2 + 2 - 3*u - 13*u + 21*u + 38*u).\nAnswer: 82*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 220, 464, 708, 958, 1220?\n\"Answer: d**3 - 6*d**2 + 255*d - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/16 + 15084\/96?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7044.928m to nanometers.\nAnswer: 7044928000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67286 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 99*v + 1825. Calculate l(-30).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -319*x - 16714. What is g(-48)?\nAnswer: -1402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45\/9 - -4 - 9. Solve 3*v - 4*a + 2 = m, 14*v - 10*v - a = -7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-10) - (237\/1580)\/(3\/46).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3.2. Let g be 0\/(-2) + (-2)\/6. Sort g, 1, a in ascending order.\nAnswer: g, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2177.57 rounded to the nearest 10?\nAnswer: -2180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.52 and 2\/9445 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1203, 2262, 3235, 4122, 4923, 5638?\n\"Answer: -43*k**2 + 1188*k + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 - -55 - (-1 + 0 + (12 - 21)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.4. Let g = -1.95 - -0.35. Let o = g - n. Which is the third smallest value? (a) 4 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 9*t - 18. Let i be x(-8). What is the remainder when 61 is divided by 30*1*(-6)\/i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30522 is divided by 30424.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Suppose 4 = -m, 4*u - f*m = 3*m + 32. What is the remainder when 8 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -21. Suppose x = -k*x + 766. Suppose 41 = -5*w + x. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**2 - 19*t + 3. Calculate q(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 759716\/23 or 33030?\nAnswer: 33030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.561 + -6.461. What is the closest to n in -0.016, -5\/6, 3, -0.2?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 2, t: 1, b: 2, c: 1, o: 4}. What is prob of picking 2 b?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/6 and 76\/321.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -35*q - 134. Calculate the remainder when u(-6) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + ((sqrt(1008) + 0)*3 - sqrt(1008)) + sqrt(1008) - (sqrt(7) + -1 + -5 - (sqrt(567)*1)**2)).\nAnswer: 35*sqrt(7) + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 403038876 a multiple of 1756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11928776149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 894.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1972 + 1971.8. Let i = -154 + 159. Which is the closest to -3\/2? (a) 6 (b) i (c) 0.1 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 173 or 172?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**4 + 39*b**3 - 57*b**2 - 219*b - 126 = 0.\nAnswer: -14, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33260.52 tonnes to grams.\nAnswer: 33260520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -82*d**3 - 17*d**2. Let w(l) = l**3 + 9*l**2. What is 2*k(t) + 4*w(t)?\nAnswer: -160*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -37328\/7, -2, -0.24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3 - 1454*l**2 + 8963*l wrt l?\nAnswer: 6*l - 2908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 3*u**2 - u - 2. Determine s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 672*a**2*b**2 - 166620*a**2*b + 3*a*b + 180*b**3 wrt b.\nAnswer: 1344*a**2 + 1080*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 8*m**2 + 4*m - 5. Let v be l(9). Suppose 5*h + 0*h = 3*o + 73, -4*h + 57 = -o. What is the greatest common factor of v and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*m**3 - 8*m**3 + 12*m**3)*(7 - 3*m - 7 + (0 - 3 - 2)*(-m - 2*m - 2*m)) as h*m**2 + b*m + s + w*m**3 + q*m**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, -19, -85, -211, -415?\n\"Answer: -3*z**3 - 3*z**2 + 6*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 3*p - p)*(0 - 2*p + 0) - 2*p - p**2 + 2*p as d + s*p + c*p**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 + -3. Let h = -46 + 21. Let d = h - -24.8. Which is the smallest value? (a) d (b) q (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301054 (base 7) to base 9.\nAnswer: 76617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 37 - 46, 5*l = 4*h + 7. Is ((-247318)\/186)\/(h\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h - 1. Let x(g) = g. Let a(s) = -2*r(s) - 9*x(s). Let y be a(3). Suppose 4*w = y*n + 65, -3*w + 71 = w - 3*n. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 20 = 0, 223*j = -2*s + 221*j + 4636. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i - 225503 = -46623 + 175915. List the prime factors of i.\nAnswer: 3, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4312)\/(-440) - (-1)\/5. Solve 5*h + j = 3*n, 5 + 5 = -n - 5*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n - 255 = 60. Solve 0 = -n*s - 83*l + 84*l, -2*s + 2*l = 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*r + 4*v, 3*r + v = 6*v. Let t = -3 + r. Put t, 3, 2\/9 in ascending order.\nAnswer: 2\/9, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 + 4 = 0. Let r be 206\/y - 3\/(-9). Suppose -3*p - 9 = -r. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1448 - 2961\/2. Let a = -32 - i. Let t = 4.7 - 5. Put a, -0.5, t in descending order.\nAnswer: a, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/5)\/(56\/38080*68).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o - 30*o = -5*o - 4*a - 26, 6*a + 38 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5975, 23892, 53751, 95552, 149295, 214980, 292607?\n\"Answer: 5971*u**2 + 4*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 6:04 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 1. Let n be ((-1)\/2)\/((-5)\/(-20)). Let o be l(n). Suppose 2*k - 45 = -o*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -48. Suppose -o = -2*g - 2*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -202 - 3166?\nAnswer: -3368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (22\/6)\/((-40)\/120)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 11:01 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.901423 micrometers to nanometers.\nAnswer: 3901.423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -42?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51817 + -259077\/5. Suppose g + 8\/5*q**2 + 34\/5*q = 0. What is q?\nAnswer: -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30953 and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**3\/15 + 38*b**2\/15 + 4*b\/3 = 0.\nAnswer: -1\/2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - o + 785 = 4*o, 0 = 5*l - o - 767. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 10*v + 7. Let z be u(-10). Suppose 24 = 4*m + 2*f - z*f, -16 = 4*f. Find the common denominator of m and 4\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3346268nm?\nAnswer: 0.0003346268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 3 - 14718\/(-858)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)\/(sqrt(20)\/sqrt(4)))\/(sqrt(12)\/(sqrt(6)*-1) - sqrt(2)) + -4)*-3.\nAnswer: 3*sqrt(13)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -528040.9 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*2*6 + (-2 + 0 + sqrt(68))**2 - (-3 + (0 + sqrt(2057) - sqrt(2057))*-4*5).\nAnswer: 16*sqrt(17) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2942 + -8716\/3. Let h = 36 - p. Let q = -0.1 - 4.9. What is the third biggest value in q, 0.04, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 225847061 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 - 1. Let g = -0.5 + 0.1. Let u = v + g. Which is the third smallest value? (a) 1\/4 (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 2 - 6 + 2 - n**2 - n**2 + 4*n**2 + (-3 + 2 + 3)*(3*n**2 - 4*n**2 - n**2) as v + j*n + i*n**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2. Let y(w) be the second derivative of w**3\/3 + 5*w. Determine y(v(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3.3. Let f = z - 0.3. Let p = f - 0.4. What is the nearest to -0.1 in 0.1, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -199\/5. Let z = 16 + -13.7. Let q = z - -0.7. Which is the biggest value? (a) h (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 + (58 - 29) + 0\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1464 divided by 1?\nAnswer: -1464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**17\/d**(-4\/7)*(d\/d**16)**(1\/59) assuming d is positive.\nAnswer: d**(7152\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 0)*(850 - 878*u - 850).\nAnswer: 4390*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g + 18. Let m be c(11). Suppose -4*p + 18 = o - 62, o + 80 = 4*p. What is the highest common factor of m and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 326 + -172. Let y = 611\/4 - w. Let f = -188 + 187.9. What is the nearest to f in 1, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 917985755 and -0.02?\nAnswer: 917985755.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - a + 2. Let i be q(-2). Suppose -v + 2*v = 3*c + i, 5*c - 2*v = -21. Let k = 2182 + -2181.9. What is the smallest value in 2\/13, k, -1\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**3 - i - i + 3*i.\nAnswer: -16*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*p + 1744 + 1118 = 41*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, d: 6}. What is prob of picking 2 d and 2 j?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11\/(-6))\/((-1)\/78). Let z = s - 131. Solve 5*k - 8 - z = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1284333, -2568365, -3852397, -5136429, -6420461?\n\"Answer: -1284032*t - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/16096465 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = -8*p + 36 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239263163 is divided by 1876.\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*r + 18, -r + 3*f = r + 2. Let z(c) be the second derivative of -c**5\/20 + 5*c**3\/6 + 4*c. What are the prime factors of z(r)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175 - 105. Does 11 divide 2\/10 - (-2436)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**5\/60 - a**4\/24 + a**3\/2 - 2*a**2. Let f = 11 + -8. Let w be o(f). Calculate the greatest common divisor of 45 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-175)\/120)\/(((-882)\/(-280))\/(-9)).\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**3 - 108078*d**2 - 42719499*d + 85871286 = 0.\nAnswer: -393, 2, 36417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -815 - -820. What is the fourth smallest value in -0.06, -2, i, -40?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 763*u**3 - 29*u**2 - 7 wrt u?\nAnswer: 4578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2400)*2)\/(5*sqrt(108)*4))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6366504.\nAnswer: 2, 3, 265271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -17?\nAnswer: -28\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*m = -402 - 459 + 303 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*t + 3*t. Suppose -14 = -4*m + 2*o, -3 = -m - t*o + 3*o. Suppose j - 15 = -m*j. Solve -j*d = -f - 8, -d + 14 = -4*f + 2*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1133838 and 207637?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 16. Let i be (32\/5)\/(u\/10). Solve -2*v + 3*l - i = 0, -7*v + 2*l = -2*v + 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 j when four letters picked without replacement from jyyyjyjjyjyjy?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*3\/6)\/((-10)\/3*(-612)\/3264).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14848, 30003, 45182, 60397, 75660, 90983, 106378, 121857?\nAnswer: 137432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2. Let u(r) = 63*r**2 + 2*r - 17555. Determine u(g(b)).\nAnswer: 63*b**4 + 2*b**2 - 17555","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1764 and 19\/1568?\nAnswer: 14112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1098\/7, 0 in descending order.\nAnswer: 0, -3, -1098\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 23 - (72 - 3915\/58))*(-2 - 0)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2 (c) -0.1 (d) -1\/2 (e) -0.096 (f) -555\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -613*t**2 - 62*t + 4. Let r(g) = 1227*g**2 + 125*g - 9. Let w(u) = 5*d(u) + 2*r(u). Find the second derivative of w(o) wrt o.\nAnswer: -1222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 2. Suppose w + w = g. Suppose -4 = -3*y - w. Which is the nearest to 1? (a) 1 (b) 2\/11 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 35*r**2 - 58*r + 185. Let x(q) = -5*q**2. Let c(i) = k(i) + 3*x(i). Is c(52) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7242883 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p = -5*g + 15, 2*g + p = 6. Let q be 4*2\/8 + g. Solve -4*s - q = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = -560*q + 541*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-1 + (-2 - 1)). Suppose 0 = 2*v - 4*w + w + q, 0 = -2*w + 4. Let m be 2\/6 + (-2)\/18. Which is smaller: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5473050 divided by 7062\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6 + 0*g - 1 + 3*g**2 - 7*g - 13. Let i(w) = 6*w**2 - 15*w - 17. Calculate -6*i(j) + 13*m(j).\nAnswer: 3*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(30) - (sqrt(1470)*-2 - sqrt(30)))*5)\/(sqrt(6) - sqrt(96)*-4 - (sqrt(6) + (sqrt(864) + -2*sqrt(864) - sqrt(6)))).\nAnswer: 160*sqrt(5)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 43*a + 111. Let g be l(3). What is g rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561775?\nAnswer: 5, 23, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*w + 15*w + 23*w)*(-w + 25*w - 5*w)*(-2 + 2 + w) to i*w**3 + f*w + p + r*w**2 and give i.\nAnswer: 950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 84005024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20603*k**2 + k**3 + 20604*k**2 - 41207*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97151 is divided by 127.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 72, 389, 904, 1605, 2480?\n\"Answer: -2*t**3 + 111*t**2 - 2*t - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 4*l + 1. Let g(s) = 3*s**2 - 11*s - 3. Let q(o) = -7*d(o) - 2*g(o). Suppose 5 - 25 = -5*u. What is q(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((-50)\/15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - c**2 + 4*c**2)*((-5 + 2 + 4)*(0 + 0 - 5) - 4 + 2 + 1 + 7 - 2 - 3 + (-4 - 3 + 5)*(2 + 0 + 0)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 1)*(-90)\/(18\/(-3)). Suppose -2 = -5*f - 3*s + 4*s, 0 = 5*s - x. Sort f, -1, -5, 4 in decreasing order.\nAnswer: 4, f, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6251, 12259, 18267, 24275?\nAnswer: 30283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 973950453 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/(8\/(-10))*35\/(1400\/880).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 192?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 477276974*u - 468901914 wrt u?\nAnswer: 477276974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 31. Let b be s(7). Let y = b - -42. Is -3 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -8*a + 5*a. Let b be 2 + (7 + -9 - 2\/a). What is the second derivative of b*t**4 - 25*t**4 + 5*t**4 - 6*t**4 - 25*t wrt t?\nAnswer: -288*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2664 - 21375\/8. What is the common denominator of d and -59\/170?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, u: 10}. What is prob of sequence nnu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 2*i + 6. Let m be y(0). Suppose -3*l - 2*o = -158, 3*l - m*l - o = -157. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143404821 and 3528?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1253*l + 1320 - 19437 = 51612 - 7079 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, d: 6}. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 13*i - 12. Let l be a(14). What is w in 7*w**3 + 35*w + 50*w**2 - 25*w**l - 2*w**3 + 15 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r + 51*r - 152*r + 29*r = -1196 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*r**4 - 14*r**2 + 992 wrt r?\nAnswer: -36*r**3 - 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, b: 3, v: 5, g: 5, p: 3}. What is prob of picking 2 b?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: c9 (base 13) to base 2\nAnswer: 10100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90*t**6 + 193*t**2 wrt t?\nAnswer: -10800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*w - 1397, 5*p - 599 - 2876 = -5*w. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d + 34. Suppose 3*f + x - 12 = 0, -x + d = 5*f - 4*x. Suppose -f*m = -2*m + 18900. What is m rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 147*y + 64 wrt y?\nAnswer: 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*x - 16, 2*b - x - 4*x - 8 = 0. Suppose 15 = 3*i, 6*i - 79 = -b*r + 3*i. Calculate the remainder when 24\/(-9 + 21) + 59 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by (-8 + 7)*(-16 + 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*b, b = 5*g + 4*b - 62. What is the greatest common factor of 15 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.441974 rounded to the nearest integer?\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 804031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -128808, -257598, -386388, -515178, -643968, -772758?\n\"Answer: -128790*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88037526 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 + 320 = 58*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699*q - 20 - 9 + 29.\nAnswer: 699*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.12, 0.01, 2\/9, -2, 8.7, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7011 - 8.7331.\nAnswer: 7002.2669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28881, 230983, 779523, 1847721, 3608797?\nAnswer: 6235971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3949374 to the power of 1\/2, to the nearest integer?\nAnswer: 1987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c + 136. Let y be g(-14). Solve y - 12 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41 + 34 + 21)*(0*o + o - 3*o)*(1 - 2 - 1) to the form u + k*o and give k.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40392 divided by 5049.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1377.7 - -1377.8. Let h = -13.8 - -18.26. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from nenneeewewweweweeen?\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)*g)**46)**(-3\/13)\/(g*g**(-6)*g**(1\/3))**46 assuming g is positive.\nAnswer: g**(644\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vavavvvvvvvvvvvvvv. What is prob of sequence vvav?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 771 (base 9) to base 4.\nAnswer: 21313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 5*f**2 - 5*f + 3. Calculate y(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l - 1371 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a*a**(-39)))\/a)\/a**(-11) assuming a is positive.\nAnswer: a**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3762 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2012841?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**3\/5 - 696*z**2\/5 + 3556*z\/5 - 4296\/5 = 0.\nAnswer: -179, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6302?\nAnswer: 2, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24706.73, -1, 8 in descending order.\nAnswer: 24706.73, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 47\/4 of a milligram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.266 and -159734.\nAnswer: -159732.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -16, 11 in descending order.\nAnswer: 11, 2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22225 (base 6) to base 4\nAnswer: -300221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 1, -64\/17, 17\/37, 24 in decreasing order.\nAnswer: 24, 3, 1, 17\/37, -64\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 3) to base 15\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - z + 4*z)*(0 + 0 - 2) - 26 - 29 + 32 + 3*z - 6*z + 3*z - 5*z in the form v*z + i and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -6 + 4 + 3 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-14\/9))**(-2\/11)*d**24\/((d\/d**(-3\/37))\/d) assuming d is positive.\nAnswer: d**(85913\/3663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -2161.96\nAnswer: -432.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165469890 a multiple of 2081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.05, 137\/2, 0.4, 243, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 146871 to the power of 1\/2, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1.1. Let z = t - -0.0944. What is z rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2317*w**2 - w - 161450 with respect to w.\nAnswer: 4634*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 30 = 3*n + 4*a, -2*a = 3*n - 21. Let v(m) = m**2 - 3*m + 1. Let d be v(n). Solve 2*x + 5*w + 6 = 2, d = 3*x - w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 bigger than 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 62 - 22) + 83.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39957 (base 10) in base 8?\nAnswer: 116025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -420777765?\nAnswer: 126233329.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -933 * 37\nAnswer: -34521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.35 * -373925.24.\nAnswer: 130873.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18947 - 5467 = 20*t. Suppose 2*u - 7*z = -12*z + t, -u + 3*z + 315 = 0. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-10) - 1170\/225 - (2 + -9). Solve 3*g + 19 = 51*w - 49*w, -2*g + u*w - 14 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x - 798 + 1584 - 797.\nAnswer: -4*x - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5 - 178377*c**4 - 2651261898*c**3 + 7956996642*c**2 + 23861357325*c - 71598521241 = 0 for c.\nAnswer: -29731, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**4\/3 + b**3\/6 - 4*b. Let p(a) = 4*a - 5. Let c be p(3). Suppose -1 + c = -6*w. What is k(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42243310 (base 5) to base 10\nAnswer: -352955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9*b**2 + 13*b - 10. Let v be t(6). Suppose -v = -f + 41. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -528 + 5*t**3 + 1046 - 518.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 6. Let q be m(-6). Let w be (7\/2)\/(-2 - 20\/(-8)). Suppose q = -2*d + w*d - 25. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*n, -4*l + n = -4*n + 109. Let x = l - -34. What is the first derivative of 4*g + x*g + 27*g - 11 wrt g?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lccieez. What is prob of picking 1 i, 1 l, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/16)\/((-112)\/192).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1036*m + 49 - 1006*m - 169.\nAnswer: 30*m - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 12:58 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 35*j + 8. Let d(o) = -43*o - 9. Let v(b) = -6*d(b) - 7*i(b). Let m(k) = 22*k**2. Give v(m(c)).\nAnswer: 286*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233962, -467926, -701906, -935908, -1169938?\nAnswer: -1404002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.09 (b) -2\/5 (c) -1\/1689 (d) 4 (e) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -19668.\nAnswer: 5\/4917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -3 (c) 1.1 (d) 485\/107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 10 = -5*b, -2*b = -w + 2*w - 2. Let h(c) = 4*c**3 + 114*c - 112*c - c**2 + b*c**3. Is 4 a factor of h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -466*i**4 - 4196*i**3 + 22350*i**2 - 24136*i - 104 = 0.\nAnswer: -13, -1\/233, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -961*l + 961*l - 14*l**3.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3236 or -1\/2090?\nAnswer: -0.3236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from uqmuqkq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/7147?\nAnswer: 1\/7147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11571*z**3 - z + 6590 wrt z.\nAnswer: -69426*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*f = 66*f + 8. Let w = 8 + f. Solve w = h - z + 4, 0 = -5*h + z - 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 0*x**2 - 2*x**2)*(-2*x**2 - 36139*x + 36139*x - 7).\nAnswer: 4*x**4 + 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + -89 - ((-6)\/(-4))\/(10\/(-39))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 2, -5, -7, -2\/5, -0.0311?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 5)*(-2*h - 2*h + 3*h)*(-690 - 4361 - 638 - 3888) as z + i*h and give i.\nAnswer: 9577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4593232 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 5*a + 0 + 0*a**2 + 1\/12*a**4 - 2*a**3. What is the second derivative of i(l) wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 546229, 546373, 546603, 546913, 547297, 547749, 548263, 548833?\n\"Answer: -b**3 + 49*b**2 + 4*b + 546177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138 - 138.06. Put h, -5, 3 in increasing order.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uox when three letters picked without replacement from bobxbbvvboxeobu.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6 + 48. Let k(b) be the third derivative of -b**5\/60 + 5*b**4\/8 + 4*b**3\/3 - 24*b**2. Calculate the remainder when k(11) is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*r = -21 - 448, 4*b - 624 = 4*r. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 12*g**2 + 3*g + 37. Let x be z(-12). Put x, 5, -6 in decreasing order.\nAnswer: 5, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuauavvuuuavuv. Give prob of picking 3 a.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-6)*(-26)\/4. Let k(j) = -j**2 - 16*j - 29. Let y be k(s). Is ((-35)\/y)\/(-7)*514 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (-10 - 32) - (6 - 30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h - 8*h - 5*h - 5*h to m*h + i and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 48. Let i(g) = -23*g + 192. Let w(b) = -i(b) + 4*j(b). Let t(k) = 10*k**2 + 2. Calculate w(t(y)).\nAnswer: 190*y**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-45)*5\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z. Suppose o = -z*o + 4. Suppose -o*v = v. Let l(f) = -f**2 + f. Calculate l(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215059022?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -2) + 4*1. Suppose b + 2 = 3*n, n + 2*b - b = y. Let q be 5*-1 - (-11)\/11. Sort q, n, 5 in ascending order.\nAnswer: q, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 18*v + 24. Let k be g(21). Suppose 2*u = i - 560, -4*i + 4*u + k + 1716 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -21*w - 20*w + w**2 + 12*w - 27. Let l be z(30). Put -5, -2, 5, l in descending order.\nAnswer: 5, l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from {l: 5, h: 5, a: 1, t: 2, x: 3, k: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1) + 2 + 0. Suppose -s*j = -c + 2*j + 16, 3*c - 5*j - 20 = 0. Are 8\/5 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -11*n**6\/30 - 11*n**3\/6 + 25*n. Find the second derivative of w(x) wrt x.\nAnswer: -132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -10*b**2 - 291*b. Let i be w(-29). Solve 0 = -0*a - i*a - 87 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w + 4. Suppose 4*p = -0*h - h + 15, -27 = -w*h - 5*p. Suppose 3*o - 2*v = 3*v + 225, -5*o + 375 = -h*v. What is o rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24, 50, 84, 126?\n\"Answer: 4*d**2 + 14*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -489 + 491. Let r(d) = 23*d**2 + 7*d - 19. Calculate the remainder when 172 is divided by r(a).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 0)*(0*o**3 + 2*o**4 + 0*o**3).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 18258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 959618 divided by -823\nAnswer: -1166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 17\/3*i**3 + 0*i**2 + 7*i + 5. What is the first derivative of a(p) wrt p?\nAnswer: 34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 296*a + 8 + 0 - 298*a + (1 - 1 + 3*a)*(-4 - 1 + 4).\nAnswer: -5*a + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012124 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 4, -10, -7\/3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9*i**2 + 17*i - 3. Let t(u) = u**2 - u - 1. Let s(a) = 5*t(a) + y(a). Solve s(j) = 0 for j.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o + 5. Put 0, o, -4 in descending order.\nAnswer: o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 + 263 = 5*n. What is the second smallest value in 4\/5, n, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -620, -1547, -2760, -4259, -6044, -8115?\n\"Answer: -143*c**2 - 498*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 + 124 = 3*t. Suppose -10 = -p - 36. Is (t - 20\/8)*p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21516\/163 - (-1 + -4). Solve d*w - 93 = 106*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*v - u - 2, -15 = -3*v + 3*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4) - (-1)\/(-2) - 0. Calculate the common denominator of 38\/3 and (-2714)\/(-414)*s\/6.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.1851 * -0.2.\nAnswer: 0.43702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43 and -1843?\nAnswer: -79249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 2*q + 2. Let t be (1 + (-11)\/2)*(-17 + 15). Let k(v) = 8*v**2 + 9*v + 9. Determine t*x(l) - 2*k(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.11961 centuries in millennia?\nAnswer: 0.411961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3 + 25860*n**2 + 77606*n - 103464 = 0 for n.\nAnswer: -4, 1, 12933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 4:04 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 13 (b) 0.5 (c) -0.8 (d) -2\/3 (e) 5\/9 (f) 8\/27 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01772 - -4.98228. Which is the smallest value? (a) 0.2 (b) 0.036 (c) -5\/4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 10:15 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6*(-24)\/16. Let z be (-4)\/(-3)*((-33)\/(-6) + l). Let n(m) = -z*m**2 + 1 - 2*m**2 - 4*m - 9*m**2 + 16*m**2. Determine n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - l + 22 = -6, l + 42 = 4*u. Solve 9*c + 2 = u*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -200694909659.\nAnswer: -200694909658.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**3\/3 + 1370. Let z(y) = 5*y**2 - 2. Let v(n) = 294*n**2 - 119. Let r(i) = -6*v(i) + 357*z(i). Give r(o(q)).\nAnswer: 21*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighteen sevenths of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001\/1567 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13029723 is divided by 658.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let f(g) = 24*g. Suppose -7*z - 35 = -28. Give z*f(h) - 4*x(h).\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 34294. Let y(o) = 9*o. Give y(h(r)).\nAnswer: 9*r + 308646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -88013\/28 and -3143 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 4:06 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -150840000 rounded to the nearest 1000000?\nAnswer: -151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in -8.6, -6, 142, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 18*b**2 + 24*b - 20. What is v(-13)?\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -332 (b) 1\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 - 5*d - 4. Let i be o(4). Calculate the greatest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432\/504*70\/(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, -106983 in ascending order.\nAnswer: -106983, -5, 12","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 6*u + 4. Let v be t(6). Factor -4*q**2 - 4*q + 2*q**5 + v*q**4 + 3*q - q.\nAnswer: 2*q*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12 = 5*b, -1 = -k - 4. Suppose -3*h + b*f + 165 = -84, -h + 77 = -3*f. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*11\/((-2926)\/(-95))*9\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 - 38*u + 34. What is f(-20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 9260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*b**2 - 34*b**2 + 6*b**4 - 2*b**3 + 12*b**4 + 85*b**2 - 34*b**2 in the form w*b + y + k*b**3 + s*b**2 + j*b**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21390?\nAnswer: 2, 3, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11846, 23795, 35900, 48167, 60602, 73211, 86000, 98975?\nAnswer: 112142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 8*z**2 - 2. Let d(y) = -12*y**3 - 51*y**2 + 16. Determine -d(b) - 6*i(b).\nAnswer: 12*b**3 + 3*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105962 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 14) to base 2.\nAnswer: 1001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c\/c**43)))*c\/(c*c*c**(-44)*c)*((c\/(c*c\/c**(-11\/5)*c*c*c))\/c)\/(c\/(c*c**(-7)*c)))**21 assuming c is positive.\nAnswer: c**(7539\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from {u: 3, a: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scscccsccc. Give prob of sequence sc.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55705, 55707, 55709, 55711?\nAnswer: 55713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -159 + (-11)\/(77\/(-42)). Let f(j) = -3*j - 2. Let p(s) = -75*s - 51. Calculate y*f(w) + 6*p(w).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.58 - -8. Let j = 0.08 + q. Let m = j + 2.5. Which is the second smallest value? (a) m (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmnsswqww. What is prob of picking 1 m and 1 s?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -359, -445, -545, -665, -811, -989, -1205, -1465?\n\"Answer: -t**3 - t**2 - 76*t - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/5)*j**(2\/17)*(j\/(j*j\/j**(-11))*j)\/(j*j**(1\/19)) assuming j is positive.\nAnswer: j**(-20244\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11602 = h + 3*p, -3*h = -h - 5*p - 23193. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0174 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5894 = 5*t + 39968, 2*v - 22723 = t. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4178 or 7183?\nAnswer: 7183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10257 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.3 (b) -11 (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 9*x + 12.\nAnswer: -3*(x - 4)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 296 from -5.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*i**6 + i**6 - 10*i**2 - 3*i**6 - 6*i**2 wrt i?\nAnswer: 960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24322 - -24425.97. Let z = v + -105. Round z to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(-q + 0*q + 3*q) + 227*q - 229*q + 808*q - q + 471*q.\nAnswer: 1278*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-3*-3 - (-2 + sqrt(500)).\nAnswer: -sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 = 4. Solve -4*i - l = 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 6. Let d(j) = -2*j + 6. Let z(a) = -6*d(a) - 5*h(a). Let q be z(5). Solve -i + 0*i = p, 3*i + 4 = -q*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + -2)*16\/60. Let d = -18 + -3. Let r = 21 + d. Is r smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - k + 1. Let a(p) = -p**2 + p - 1. Let r(f) = -6*a(f) - 7*d(f). Let v(s) = -s**3 - 19*s**2 - 80*s + 48. Let x be v(-12). Calculate r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*j - 12 = 0, 5309*z = 5306*z + 2*j - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 x, and 2 u when four letters picked without replacement from xxuuuuxuo.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58*y**3 - 182 + y**2 + 392*y - 50*y**3 + 182 wrt y?\nAnswer: -648*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 29 = -5*c, 0 = -4*c + c + k + 16. Suppose c*j + 55 - 220 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*i = 25, -10 = 3*b + 4*i + i. Suppose 5*n + j = -36, -16*n + 14*n + 5*j - 36 = 0. Sort b, 0, n.\nAnswer: n, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-10))\/((-6)\/15). Let p = -3 + 3.5. Put p, x, -3\/7 in decreasing order.\nAnswer: x, p, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - t - 9 = 0, 0 = -2*a - 3*t - 33 + 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8458 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -25. Suppose 2*p = -5*k - 3*p, 3*p = 2*k - 15. What is the least common multiple of k and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*i**2 - 56*i**2 + 44 - 47 + 2*i + (-2*i - 2*i + 2*i)*(3*i - 2*i + i) + i**2 - 11*i**2 + 2*i**2 in the form w*i + t + y*i**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - t**2 + t + 1. Let l be y(2). Let m be 432\/42 - 2\/l. Suppose 0 = -6*b - m + 40. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 313 + -314.17. Let m = -4.17 - f. Let o be 35\/16 + (-2)\/1. Put -2\/5, m, o in ascending order.\nAnswer: m, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/4260 and 65\/12036?\nAnswer: 4272780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284156457 to the nearest integer?\nAnswer: 16857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/26 and -17\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 9:50 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1712 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6978*x**4 - 3*x**2 + 36630*x.\nAnswer: -83736*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w**2 + 0*w**2 + w**2)*(-1652 + 803 + 716) as k*w**2 + v*w + q and give k.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 415 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-1*(2 + -1)). Let u be -6 - -6 - a\/(-2). Solve -g - 6 = 5*b + 6, -3*g - b + 6 = u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21611608 and 1706?\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4*(-14)\/(-20))\/((-1)\/30) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -19*v**4 - 99*v**3 + 1807*v - 2. Let n(a) = 31*a**4 + 165*a**3 - 3012*a + 3. Let i(x) = -8*n(x) - 13*w(x). Find the second derivative of i(z) wrt z.\nAnswer: -12*z**2 - 198*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4*k**2 - 1 - 30*k**2.\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -21. Let l be (-4)\/18*i\/(-5). Let f = -3 - -3.2. Which is the nearest to l? (a) f (b) 3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.208 + 0.276. Let c = -0.684 + h. Sort -10, 3, -6, c in ascending order.\nAnswer: -10, -6, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*r - 14, 0 = s - 5*r + 6*r + 2. Let m(n) be the first derivative of 4 + 1\/3*n**3 + 0*n + 0*n**s. Let j(x) = 3*x**2. What is j(m(q))?\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = b - 4*b + a, -2*b + 4*a = 28. Let l(y) = 0*y + 2*y + y**2 - 1929 + 1927. Give l(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + 2*k**4 - 3*k**4 - 443*k**4 + 3384*k**3 - 3384*k**3 + (k**2 - k**2 + k**2)*(-3*k**2 + 0*k**2 + 5*k**2).\nAnswer: -443*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 4. Let v = 37095 + -37091. What is the closest to v in 0.5, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15 - ((-8)\/(-4) - 0). Solve 5*z - 5*q - 5 = 0, 3*q = -2 - t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**4\/24 + 7*y**3\/3 + 11*y**2. Let a be u(5). Is (-3)\/a - (-1936)\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 934 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -153\/23 in 0.5, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/(-3) - (-8)\/(-6). Suppose 6*h + 5 = q*h. Put h, 0, -2 in ascending order.\nAnswer: -2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 19*u + 81. What is d(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 11. Let p(l) = l - 7. Let a be p(0). Let q be j(a). Let w(x) = -x**2 + 9*x - 5. Let r be w(8). Solve r = d + q, 4*i = -d + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*k**5 - k + 8*k - 21*k**5 wrt k.\nAnswer: 340*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 18.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/62 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0.2 (c) 2\/4893 (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 28420.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 7. Let w be c(9). Suppose -w*z + z + 4 = 0. Does z = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14))\/(2277\/66 + -34).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74747.1262 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - -3) + -10 - (-6 - (-61 - (-1 - 8))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 325969 and 210.\nAnswer: 9779070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*a + 79*a - 66*a - 25*a + 232*a.\nAnswer: 305*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (115 + -139 - 108) + 95?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 77029144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d = 8*d + 108. Let m be (-6)\/15 + (d - -3)\/(-1). Which is the nearest to 1? (a) 2\/5 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 - 2*m + m**3 + 38728*m**2 + 2*m - 38728*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 437 - 445. Which is the nearest to -3? (a) -0.4 (b) 0.2 (c) t (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3940401.6us to hours.\nAnswer: 0.001094556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4100 + 33?\nAnswer: -4034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-8) - 51\/(-12))\/5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.7 in 1\/4, -135, -0.131, 9?\nAnswer: -0.131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**7\/280 - r**6\/40 - r**5\/20 - 11*r**3\/6 - 15*r**2. Let y(k) be the first derivative of d(k). Suppose y(q) = 0. What is q?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = 28*h - 366. Suppose -3*d = -1 - 2. Does 2 divide h\/((-2)\/(-40) - d\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d**2 - 137*d + 235. What is q(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2798 + 713 + n + 11639)*(4 + 4 - 5).\nAnswer: 3*n + 45450","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1501*v + 3806 = -1428*v + 521 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -13*c**5\/30 - 4*c**2 - 6*c. Let b(f) = -5*f. What is u(b(j))?\nAnswer: -650*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428075254 to the nearest integer?\nAnswer: 20690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-4\/5)*(c*c**(-5))\/c*c)\/(c**(1\/9)\/c**(-4)) assuming c is positive.\nAnswer: c**(-356\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 39, 62, 83?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 6. Let o = 12 - 17. Let a be z(o). Let x = a - -10. What is the remainder when 60 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -26*m - 1. Determine g(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80617 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 6, 22, 44?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + d = 2, 2814*f - 2809*f - 3*d + 18 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -7)\/(314\/2512)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -1) + 28\/(-15). Let p(l) be the second derivative of -l**4\/12 + 7*l**3\/6 + 4*l**2 - l. Let g be p(8). Is n >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2248098 (base 12) to base 8.\nAnswer: -31031164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -466 and 2752?\nAnswer: -1282432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47850 or -46309?\nAnswer: -47850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 22 + 41. Solve 24 = 5*i + a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*n + 5*n + 8*n - 2*n**3 - 2 to k*n**3 + f*n**2 + w + o*n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7689 and 140349?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101369\/16530 - 1\/1102. Let b(k) = 3*k**2 + 8*k + 22. Let n be b(13). What is the common denominator of t and (-2)\/(-1) - 1 - n\/90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 10:27 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x. Suppose 0 = -2*l + 4*p + 16, -2*l + p + 16 = -p. Let a(s) = -s + 8 - l - 8*s. Give a(h(c)).\nAnswer: 27*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*h**3 + 284*a**2*h**2 - 5*a**2 + a*h - 199*h**3 wrt a.\nAnswer: -2*h**3 + 568*h**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/5, -307, -0.03, 5, -1\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2702429*h**2*u**3 + 2*h**2*u + h**2 - 3880*h*u + 4*h + 6 wrt u?\nAnswer: -16214574*h**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 12*j**2 - 37*j + 16. Let h be k(7). Suppose 3*u + 2 = h*r - 12, -3*u - 7 = 5*r. Solve 2*o + 4*f = 8, 4*o - 3*f + r = -5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -16*x**2 - 5*x + 19. Determine l(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -862*g + 1349*g - 487*g - 3*g**2 - 3 + 3.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 3*i - 35 + 19 + 25 + 25, -i - 18 = 2*y for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/12)\/(3\/(-4)) - 22\/(-11). Let x be (0*3\/3)\/1. Solve -3*s + 0*s - w*y - 12 = x, s + 6 = y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 522505022 (base 6) to base 16\nAnswer: 8ab8a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (3\/1 - (42\/9 - 5)). Which is the closest to 0? (a) -5\/9 (b) -0.5 (c) g (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6052426507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1\/5)\/w*w))**(-5\/2)*((w**8*w)\/w)**(-33) assuming w is positive.\nAnswer: w**(-267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2068, -2109, -2170, -2251, -2352, -2473?\n\"Answer: -10*j**2 - 11*j - 2047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 5*d + 130 = 6*h, 0 = 2*h - 4*d + 88. Round h to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -289\/2 - -142. Let p(a) = -26 - 76*a + 39*a + 35*a. Let t be p(-19). Put 0.1, 3\/2, c, t in ascending order.\nAnswer: c, 0.1, 3\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 672 and 854380128.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 + 13\/2)*-4. Solve -a*z = 3*z - 3*b + 5, 10 = 2*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39\/(-52) + (-42)\/8. What are the prime factors of -2 + 6 + r - -82?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = -0*y. Let g = -3156 + 3173. Solve -g = y*c - 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d - 158. What is q(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ottotoztzotzzttoo. What is prob of picking 2 o, 1 z, and 1 t?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70479, 70218, 69521, 68172, 65955, 62654, 58053, 51936?\nAnswer: 44087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 6*t - 1. Let k = -42 + 76. Suppose -2*m = 4*v + 26, -5*m = 3*v + 10 + k. Determine b(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 481*h + 5 + 481*h - 2*h**2 in the form s*h**2 + f + o*h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70068120 by -12190.\nAnswer: 5748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -71160, -71675, -72190, -72705, -73220?\n\"Answer: -515*d - 70645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*s - 5346 = 40*s. What is the remainder when 330 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 5*x**2 + 6*x. Let o be 2\/(-7) - 104\/28. Give a(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -177*l - 359 + 1952 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1877692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0753*5033.\nAnswer: 378.9849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (1 + -10) - (1 + 12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 12:24 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*g**5 + 2*g**2 - 2*g**2 + (0*g**2 - 66 + 71 + g**2 + (2*g - 4*g - 2*g)*(-5*g + 3*g + 4*g))*(2*g - 2*g - g**3).\nAnswer: 14*g**5 - 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-200)\/(-90) + (-2)\/9 + 3. Suppose q*i - 5*v = -5, 4*v = -3*i + 23 + 9. Suppose t + 4*b + 9 = -7, -i*b = 5*t. Solve 3*m - 2 - t = -2*c, 2*m = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**5\/130 + 2*v**4\/39 - 4*v**3\/39 - 3*v**2 + 2*v. Let s(l) be the first derivative of t(l). Factor s(x).\nAnswer: -2*(x - 2)*(3*x - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Let s(r) = 4 - 3 + 4 - k*r. Is s(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) + 0 + 1))*-3*-4 + -5)**2.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8300 = 12*m - 22292. What are the prime factors of m?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5896127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 5 = -1. What is the units digit of (27\/12)\/(u\/100)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11239.\nAnswer: 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260 - 55*x**2 - 260.\nAnswer: -55*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2 + 2)*(-4 + 5 + 4).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2026 + 2?\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 - 83. Suppose 0 = -6*z + 4*z + 5*s + 59, 0 = 5*z - 4*s - 122. Suppose 0 = 5*o - z - a. Solve 2*p + 3*m = -5, o = 5*p + 3*m + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 33145204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 497bb0 (base 16) in base 7?\nAnswer: 55635132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/16)\/(9\/216)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1887419.5 rounded to the nearest 1000?\nAnswer: 1887000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 2*p - 3*p - 7*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 - -98. Let i = k + 6. Solve 5*t + i + 8 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2 + 5 - 7 - h**2 + 3*h + 2*h**2. Let v be n(-4). Let g = -87.05 - -87. Which is the smallest value? (a) g (b) v (c) 0.3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-30)*(-610)\/(-3172).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/12 and 89\/18800.\nAnswer: 56400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, e: 3, n: 1}. Give prob of picking 1 x, 2 e, and 1 n.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1039 - -1.2. Round h to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**3)\/h)\/(h\/h**(-6))*(h**0*h*h)\/(h**(-7)\/h))\/((h\/(h\/h**1))**(-23))**2 assuming h is positive.\nAnswer: h**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93 and 248.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*y - 103, -115 = -3*y + 2*g + 2*g. Let v = y - 15. Solve 0 = k - 4*f + v, 0 = 4*k - 0*k + f - 13 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r. Let t(w) = 102*w**2 - 84*w + 42. Let a(z) = -12*z**2 + 10*z - 5. Let u(g) = -42*a(g) - 5*t(g). Calculate d(u(c)).\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -463*m**5\/5 - m**3\/3 - 32*m - 380. What is the third derivative of r(f) wrt f?\nAnswer: -11112*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-21)*-1 - 30\/(-14). Suppose -5*p + 4 = 2*f, -2*p - f = -7*p - o. Solve 4*c - q + 1 = p, -5*c + 2*q - 1 = q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 21. Let r = -6 + 10. Let x = i - r. What is the greatest common divisor of 35 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47, -54, -63, -74, -87, -102, -119?\n\"Answer: -g**2 - 4*g - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1125, -2098, -3051, -3984, -4897?\nAnswer: -5790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120040?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -2892?\nAnswer: 2893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 57.000002215. What is u rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 8. Let i be t + -56 + (16 - 13). Let k be (-180)\/i*(-6)\/(-5). Solve -5*d - 1 = -k*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -28\/119159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11.1, -3, -226707?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 12) to base 7\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + l + 714698 = 5414702, 3*l + 2819988 = 3*x. Round x to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149444, 149436, 149414, 149372, 149304, 149204, 149066, 148884?\nAnswer: 148652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 10:41 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1771390*g - 590664*g - 590610*g - 590502*g.\nAnswer: -386*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -5*x**3\/3 + 7*x + 380. Determine p(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39998 + -1151.2\nAnswer: -41149.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175705911?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1171170 and 121\/90.\nAnswer: 1171170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2541*d**3 + 3*d**2 - 378*d + 48.\nAnswer: 15246*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k**3 + 4*k**2 - k - 3. Let p(r) = 5*r**3 + 2*r**2 - 1. Let o(s) = -4*c(s) + 9*p(s). Determine o(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 120\/25 + (-68)\/(-20) + (-3612)\/(-215)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1334386 is divided by 111065.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from {d: 8, f: 2, o: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from {y: 2, z: 2, g: 1, v: 1, t: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 11:48 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/10, -8\/7 in decreasing order.\nAnswer: 0.3, 1\/10, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 16*i**2 + 25*i - 137. Let d be v(15). Suppose c - 73 = -d. What is the highest common divisor of c and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18420 divided by 921?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678*n + 9 = 679*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 1*63\/12*(0 + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 10:06 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t + 140 = 235 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -144 - 30301?\nAnswer: -30445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 56. Let p = -0.089 - 34.811. Let l = p + t. Is l >= -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 4. Suppose 3*v - z*v = -8. Suppose v = 3*h - 8, 5*s = 2*h + 47992. What is s rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-64)\/9 + (-73 - -80). Which is the closest to q? (a) 1 (b) 5\/3 (c) 0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 1. Let k(q) be the first derivative of -q**2 - 11*q + 14. Let o be k(-6). Put o, d, 3 in descending order.\nAnswer: d, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50316, 50321, 50318, 50301, 50264, 50201?\n\"Answer: -g**3 + 2*g**2 + 6*g + 50309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-52)\/(3 - 5) - -1. Let y = g + -26. Solve 0 = 2*t - t - y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*l - 326 = -101, -2*l - 239 = -5*c. Calculate the remainder when c is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2636*l**2 - 4031 wrt l.\nAnswer: -5272*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -89*y - 51*y + 4260. Solve y = -2108*k + 2102*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 2 - n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5530848614 - 5530848614 - 2*c**3 - 13*c**2.\nAnswer: -2*c**3 - 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, p: 2, x: 1, b: 4, i: 2, a: 3}. What is prob of sequence bai?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 17*o**4\/24 + 11*o**3\/6 + 5*o**2\/4 + 1535*o. Let w(q) = 0. What is q?\nAnswer: -1, -5\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + 0*s**3 + 2*s**3 + (0*s - 9*s + 3*s)*(2 - 2 - 2*s**2).\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3 - 624*r**2 - 612*r + 1240 = 0. What is r?\nAnswer: -155, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 13*y + 3*y. Solve n - 3*i + 7 = 0, 3*i - 12 - y = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -9) + -12 + 4 + 657. Let y(n) = -n**2 + 10*n + 15. Let j be y(11). Suppose -j*c + u = 98 - b, 270 = 2*c + 2*u. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7129879 is divided by 254636.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 7*s**2 - s - s**4 + 3306*s**3 - 5 - 3302*s**3 to the form w*s**2 + h*s**4 + m*s**3 + a + x*s and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 8:57 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 691738\/571 >= 1210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**3 - 328*o**2 + 644*o - 320 = 0.\nAnswer: 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -164, -153?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1462 (base 8) to base 14.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15082, 30157, 45232, 60307, 75382, 90457?\n\"Answer: 15075*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.412774 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccclclqqcqqlck. Give prob of picking 2 l and 1 q.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/16845 - 724379\/370590. Let a = 2036294 - 36403667\/18. Let n = a - 13873. Calculate the common denominator of q and n.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -802 + 802. Put 5, 148, d in increasing order.\nAnswer: d, 5, 148","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 3*t - 2*t**2)*(-2024*t - 1965*t + 261*t**2 + 3989*t) - 3*t**4 + t**4 + 0*t**4 to the form d + g*t + k*t**4 + l*t**2 + b*t**3 and give k.\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.3 from 14401535.4.\nAnswer: 14401533.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*h + 4*i, -2*h - 6*i + 39 = -i. Let q = 39 - h. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 - 23*m + 4. Let q be y(-7). Let p be q\/(-4)*(140\/(-24))\/(-35). What is the nearest to -0.3 in -2\/3, -2, p, 2\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - (-4 + -1 + 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 9*m + m - 12*m - m + 37*m**2.\nAnswer: 37*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 661 (b) -2 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 572204 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/988 and 95\/14?\nAnswer: 6916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5897, -11806, -17715, -23624?\nAnswer: -29533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = 127 + 43. Let q = 25 + h. Let -136 - q*n + 266 - n**2 - n**2 - 136 = 0. What is n?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1330 - -1345. Calculate the remainder when 2411 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z + z)*(197 + 839120*z**2 - 839120*z**2 + 3*z**4).\nAnswer: 3*z**5 + 197*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o. Let m(s) be the first derivative of -9*s**4\/8 - 5*s**2\/2 - 13. Let b(u) be the second derivative of m(u). What is b(i(f))?\nAnswer: 54*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*p + 86 = -137*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 90*m**3 - 6108*m**2 - 4078*m\/5 - 136\/5 = 0?\nAnswer: -1\/15, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 6:25 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, u: 9}. Give prob of picking 2 p.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11780000 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.143 - -0.043. Let o(t) = -t**2 - 2*t - 2. Let k be o(-2). Which is the nearest to m? (a) k (b) 7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1484*j - 8103. What is the hundreds digit of b(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 869521912 divided by 2\nAnswer: 434760956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -310*j + 101*j - 4312 - 704 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 48*k + 54536. List the prime factors of k.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcuu when four letters picked without replacement from {c: 2, p: 3, a: 6, s: 2, x: 1, u: 5}?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24081*r**3 - 47563*r**3 - 152156*r**3.\nAnswer: -223800*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 585\/236?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j + 3. Let a be l(2). Let c(x) = 11*x**2 + 15*x - 13. Let p(f) = -5*f**2 - 7*f + 6. Let b(g) = a*p(g) - 6*c(g). Factor b(i).\nAnswer: -i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -589.805 rounded to zero dps?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/55032 and -89\/183440.\nAnswer: 550320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 79185 - 42*s - 79185 + (3*s - s + 0*s)*(0 - 5 + 4) - s + 3*s - s.\nAnswer: -43*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 4) + -25 + (-1 - 0 - -8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -2\/9, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.087169 years to decades.\nAnswer: 0.8087169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1271430438 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/48*42\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, e: 10}. Give prob of sequence veee.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 27 = 5*y, -1 = -5*y + n + 11. Let b(v) = -v**3 + 4*v**2 - 4*v + 3. Let a be b(y). Solve a = -2*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-75*x**3 + 75*x**3 - 9*x**2 + 2*x**4 - 1 - x).\nAnswer: -4*x**4 + 18*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) 3 (c) 0 (d) -7741 (e) 1.5 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268465?\nAnswer: 5, 53693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75927*r**3 - 159599?\nAnswer: -227781*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22865520861.78 and -0.3.\nAnswer: 22865520861.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13646134*m**2 - 3*m - 1317067.\nAnswer: 27292268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x + 42. Let h be a(5). Suppose -2*i - 5*v + 28 = -41, 84 = h*i + 2*v. What is the remainder when i is divided by -2 + 20 + 1*-2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 5:13 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/5895 and -58\/225?\nAnswer: 29475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckwgppipwwiw. What is prob of picking 1 k, 1 i, and 2 p?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllullttellllfd. Give prob of picking 1 t, 1 f, and 2 l.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2947 (base 10) to base 15\nAnswer: -d17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4657 - -0.0067. Let n = m + 0.059. What is the smallest value in 0.5, 15, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i**5 - 1496*i**4\/7 + 3356*i**3\/7 - 416*i**2 + 1040*i\/7 - 128\/7 = 0. What is i?\nAnswer: 2\/7, 2\/5, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2842076 is divided by 419?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 12, 0.3, 3, -5, -0.1, -1, -7.568?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39072\/(-185) + 229 + (-2)\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -4, 2117830 in ascending order.\nAnswer: -16, -4, 2117830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36071807 (base 9) to base 4.\nAnswer: 1003011023200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-10)\/(-25))\/(-3*1\/(-3420))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3237*k = 3541*k + 2646 - 16630 for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214452, 214458, 214464, 214470, 214476, 214482?\nAnswer: 214488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.969574 + 0.030466. Let f = s + -2. Round f to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-444)\/370*(-6 + (-2)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l - 24*l - 9303 = 0. Suppose -d + l = -5*w - 96, -d + 3*w = -549. What is the remainder when d is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 24 = -8*r + 13*r. What is the fourth smallest value in 0.11, r, -3\/4, 12, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 43*v + 271. Let r be c(-7). Is ((-6)\/4)\/(r\/137140) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -3)\/(1*2). Let j = -0.294 + 0.994. Which is the closest to j? (a) -4 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2535 = -292*p + 2429 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 324 and 77 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 6. Let u = 1 + -1.2. What is the second biggest value in u, -5, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 10994 + 11000 = 0. Let h(s) = s + 7. Let z be h(-5). Let a(w) = w**z + 2*w - 2*w**2 + w**3 - 2 - 4*w**2 + 4. What is a(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/7 + 214184*d\/7 + 2867174116\/7.\nAnswer: 4*(d + 26773)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 3 = 3*x. Let v(g) be the first derivative of 1\/2*g**2 - x + 1\/6*g**3 + 1\/2*g. Factor v(a).\nAnswer: (a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 - 468*j**3 + 90 - 97*j**3)*(2 - 6 + 2 + (0 + 0 + 1)*(1 + 4 - 4) + (1 + 2 - 1)*(1 + 2 - 1)).\nAnswer: -1695*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*u = -4, -5*u - 37 = -3*d + 15. What is the derivative of d*c**2 - 7 - 20*c**2 - 4 wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 + 8*c - 9 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u**2 + 4*u - 4. Let m be g(1). What is the common denominator of -11\/30 and (-111)\/45 + m\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 10101001110101000?\nAnswer: -10101001110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -2\/9, 3\/2, 3, -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*m. Let v = 368\/11 + -34. Is v at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 20*u**2 - 29*u - 15. Calculate m(19).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*f - 28*f + 2589*f**2 - 2591*f**2 as u + d*f + m*f**2 and give d.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 108*k - 351. What is o(5)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 240577.9138\nAnswer: 240582.9138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 90. Is 9 a factor of z(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175025?\nAnswer: 5, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/87 in -8\/5, 3\/8, -1\/2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/11 (b) 0.1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5647005 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*p**2 + 570*p - 570*p + 44*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 149, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 56 = -60, -5*w + 55535 = 5*o. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 25*i + 2960 = 0. What is the lowest common multiple of 148 and i?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -91, 4, 179, 458?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163 is divided by 78.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - -1. Let w = y - 0.3. Let k = 39.1 - 39. Which is greater: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**0*j*j*j\/(j\/(j\/((j**(5\/4)*j)\/j))*j) assuming j is positive.\nAnswer: j**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -11*k**2 - k - 2. Let s be t(2). Let u = s + 50. Suppose -u*c - 6*c = -1016. What are the prime factors of c?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5054434 (base 6) to base 4.\nAnswer: 322302112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from vvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6439 - 6437. Sort -2, c, 7, -10.\nAnswer: -10, -2, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*2\/6)\/(166\/(-747))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -485? (a) 39\/2 (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558841 a multiple of 1087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 5. Let l(h) = -1. Let q(a) = 5*l(a) + w(a). Let u(z) be the second derivative of -4*z + 0*z**3 + 0*z**2 - 1\/12*z**4 + 0. Give q(u(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0088615 rounded to 4 dps?\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -9\/5, 50, -2?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 607033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44384 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -233357 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3*v = -2*v, 2*g + 0*v = 4*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o**2 + 24*o**2 - o**3 + 19*o**2 as l + q*o + h*o**3 + s*o**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/(-86))\/((-2)\/((-8)\/(-11))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 3. What is the third derivative of 6 - 31*z**3 + 2*z**2 - 16*z**l - 8 + z**4 wrt z?\nAnswer: 24*z - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 7*x - 6. Suppose 0 = -5*w - 3*c - 37, -c + 4 - 3 = 0. Let n(s) = -s**3 - 8*s**2 - s - 1. Let j be n(w). Give b(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 12 = -2*d, -r - r + 2*d = -18. Suppose r*b**5 + 4*b**3 + 0*b**3 - 14*b**5 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*f**3 + 0)*(-4*f + 3*f - f - 1 + 1 + f + (-3*f + f - f)*(0 + 4 - 5) + 9*f - 4*f + f) to c + w*f**3 + h*f**2 + b*f**4 + t*f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b + 28*b - 3458 = -23*b. What is the least common multiple of b and 1976?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*u + 19 = 400*u + t, -3*u + t = -13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(117) - -5*(1 + sqrt(117)))**2 - (2 + sqrt(117) + 2*sqrt(117))**2) + 5 + 4 + -3.\nAnswer: 144*sqrt(13) + 3185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**4\/12 + i**3\/6 - i**2\/2 + 155*i. Let r(d) = -6*d**2 - 5*d + 5. Determine -10*h(t) - 2*r(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 10:24 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q**4 + q**2 + 11\/160*q**6 + 1\/280*q**7 + 0*q**3 - 3\/20*q**5 + 53 + 0*q. Factor d(i).\nAnswer: 3*i**2*(i - 1)*(i + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + sqrt(343) - 1*(sqrt(343) - (sqrt(343) + -1*sqrt(343))))*-6 - (1 + (sqrt(343) - (2 + sqrt(343))) + -1*(sqrt(343) + -2)))**2.\nAnswer: -182*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**2 - a - 5. Suppose 5*h = 3*k - 23, -3*h = 5*k - 0*h + 7. Let n be 1\/(k\/((-33)\/3)). Let d(s) = 1 - 5 + s**2 + 4 - 1. Calculate n*d(l) + 2*p(l).\nAnswer: l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-42) - ((-12)\/(-40))\/(28\/24)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21672 or -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*g = -19, 3*g = n + g + 11. Let s be (12\/42)\/((-30)\/(-168)*4). What is the second biggest value in n, -4, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 8:05 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -3, 8.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -2. Let v = -38.3 - -38. Put n, -0.4, v in decreasing order.\nAnswer: v, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/21? (a) 161 (b) 11 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4693837 not equal to -4693778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 - 47*j + 130. Give u(-23).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*b**3\/2 + 259431*b**2\/8 + 4177577*b\/8 - 13395\/4 = 0.\nAnswer: -47\/3, 1\/156, 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6 - 5\/(-2). Let h = -8 - -3. Let u = -10 - h. What is the second biggest value in -0.1, w, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -19*h + 1545. Let r(x) = 28*x - 2318. Give 7*n(o) + 5*r(o).\nAnswer: 7*o - 775","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2\/4 + 46965*v\/4 - 46959\/2 = 0 for v.\nAnswer: 2, 15653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4274 - -0.187498823?\nAnswer: 4274.187498823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-17\/6)\/(y\/(y*y*y\/(y\/(y\/y**(13\/5))))) assuming y is positive.\nAnswer: y**(-103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11155657*s - 12305971?\nAnswer: 11155657","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*5\/(-2)*(-20)\/125. Let j = -6 + 5.6. Let n = -3.4 - j. Which is the third biggest value? (a) t (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2684, -8649, -17832, -30233, -45852, -64689, -86744?\nAnswer: -112017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 22*z**3 + 5*z - 6. Let j(v) = -23*v**3 - 4*v + 5. Calculate -5*j(k) - 4*m(k).\nAnswer: 27*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**5 + 28*b**3 - 34*b**2 + b.\nAnswer: 300*b**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4701 - -4711. Solve 0 = -12*d + 14*d - r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.98 + -104.98. Let z = 99 + i. What is the nearest to -1 in 2\/13, z, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-5)*7\/441*-2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**2\/6 - 17*m\/3 - 289\/6 = 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84779889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7818.\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/3072 and 21\/2048.\nAnswer: 6144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-32 - -29) + -65.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-15740)\/16 + 2. Let y = n - -973. What is the common denominator of y and 0 - 0 - (-104)\/72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + 4*(-2 + sqrt(76)*-1 + -5*(sqrt(76) + 0) + sqrt(76)) + -3)**2*2.\nAnswer: 1280*sqrt(19) + 60928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8217 + 17*z**2 - 8217.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1.07, 3\/7, -1\/72?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0)*(-3 + 2). What is the units digit of 6\/(r\/((-3)\/2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*u - 12. Suppose -10 = -u*w - w. Solve -w = 2*m - 2*t, -2*m = 2*t - 17 - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2580667nm?\nAnswer: 0.0000000000002580667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.099 - 53\nAnswer: -53.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1433500 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*g + 901 + 1384 = 13*g - 275 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413380 + 3267933 = 140*l + 439133. Is 42 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 3*i - 3*i)*(5*i + 17*i**2 + 2*i - 8*i).\nAnswer: 17*i**4 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6145, -5811, -5515, -5275, -5109?\n\"Answer: -3*r**3 - r**2 + 358*r - 6499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1904 is divided by 944.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 126*t + 22. Let u(k) = -188*k - 31. Give -7*q(c) - 5*u(c).\nAnswer: 58*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 4*s - 8. Let h(o) = 2*o**2 - 7*o - 14. Let p(j) = 4*h(j) - 7*l(j). Let i(w) = 34*w - 6. Calculate i(p(n)).\nAnswer: 34*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235 + 5*x - 3*x - 7*x.\nAnswer: -5*x - 235","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k - 5 = -2*c, -5*c + 50 = 5*k. Let p(m) = m**3 - 9*m**2 + 4*m - 6. Let w(s) = s**2 - s. Let x(q) = p(q) + 2*w(q). Calculate x(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 259 + n + 3*n + 2*n**3 - 17 + 85 to the form d*n + w*n**2 + t + b*n**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.7237 millennia to months.\nAnswer: 704684.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1402 - -1422. Let b(v) = -3*v**2 + 5*v - 2. Let q be b(4). Let x = c - q. What is the remainder when x is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 43. Suppose -4 = o, -f = o + o - q. Suppose -143 = -5*m - f. Solve 3*s + 6*v - m = 2*v, -15 = -5*v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 925630 and 510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -8. What is the highest common divisor of o and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*w - 5*c - 22, 20 = 2*w - 4*c. What is the second biggest value in -4, -224, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1)*n)\/n*n)\/n)**10 assuming n is positive.\nAnswer: n**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 291*y**5\/5 - y**2\/2 + 1931*y - 958. Differentiate w(g) with respect to g.\nAnswer: 1164*g**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/98 + 340\/(-14). Let v be 36\/i*(-1)\/(-6). Is -2\/5 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1186, -4427, -11552, -24499, -45206, -75611, -117652?\nAnswer: -173267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*f - 0*f - 21322. Suppose 5*s - 10263 + f = 0. Suppose -2*j - 886 = -3*t + 1751, s = 2*t + 2*j. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 346*a - 13183. Calculate u(43).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((264\/36)\/(-22))\/((-7)\/210*15).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(-1*((4*sqrt(972) + sqrt(972))**2 - sqrt(972)) + sqrt(972) + (sqrt(972) - (((2 + sqrt(972) - sqrt(972)) + 0)**2 + sqrt(972)))).\nAnswer: -540*sqrt(3) + 364560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q, -1 + 29 = 2*i + 3*q. Suppose 2*h = -2 + i. Let j = -5 + 15. Calculate the remainder when j is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 53.83383 tonnes?\nAnswer: 53833830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, 3, -4, -4581 in ascending order.\nAnswer: -4581, -4, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -50, -75, -112, -161, -222, -295?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 6*n + 18. Let l be (-4)\/(-8)*10*13. Let j = -60 + l. Let u be o(j). Calculate the highest common factor of 52 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*u = -403*u - 297 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*q. Suppose -3*i + 14 = -2*c - 3, 3*c + 12 = q. Let m = i - -3. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452 = -3*m - 0*i + 2*i, i = 3*m - 454. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5\/3, 0.04 in decreasing order.\nAnswer: 3, 0.04, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 626*l**2. Let z(i) = 33*i**2. What is s(z(a))?\nAnswer: 681714*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 366 and 14.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365700 = -5*q - 18*q. List the prime factors of q.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-19)\/38 + 33\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 1. Let u(x) = 47*x. Determine 4*l(p) - u(p).\nAnswer: -51*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -47. Let u be ((-82)\/204)\/(2\/h). Let k = u - 2393\/102. Find the common denominator of k and 1\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999714.\nAnswer: 2, 3, 166619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x + 20*x - 232*x**2 + 230*x**2.\nAnswer: -2*x**2 + 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 23*z**2 - 25*z + 2. Let b be j(-22). Suppose 136 + b = 4*s. Calculate the least common multiple of 370\/15 + (-2)\/3 and s.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242757530 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4503 at most as big as 4609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 less than or equal to -525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypyppypp. Give prob of picking 3 y and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 1012715702?\nAnswer: -1012715706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -18*n - 0*n. Is -7*n\/(15\/6 - 3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 1410*r - 138 = 1404*r, 3*s - 63 = -5*r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 2354\/149343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8) + (sqrt(8) - sqrt(8)*3))*-6.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27 - 1) + -3 + 1. Let j = 44 - o. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83968268 is divided by 3109935.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/9 + 238*p**3\/9 + 1766*p**2\/9 - 238*p\/9 - 196 = 0. What is p?\nAnswer: -7, -1, 1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 11:49 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -811 - -811. Suppose -3*n + 17553 = 5*q + 6192, y = q. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 9. Let b = 83 + -120. Let t = -32 - b. What is the units digit of h(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -38. Let s(g) be the second derivative of -2*g + 0*g**3 + 0*g**2 + 0 - 1\/12*g**x. Let k(b) = -2*b**2. Determine k(s(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6 + 58*k**3 - 5*k**2 - 6 - 10*k**2 - 57*k**3 + 30*k. Let v be g(14). Is 213 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = -2*r + 17*u + 98, 0 = -4*r + 3*u + 217. Calculate the remainder when r is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71024864?\nAnswer: 2, 2219527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27199691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + 18. What is the remainder when z is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 126114?\nAnswer: 504456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 1, u: 9, k: 1}. What is prob of sequence uuk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20, -45, -184, -433, -828, -1405, -2200, -3249?\n\"Answer: -6*x**3 - x**2 - 20*x + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (332*7)\/((-88)\/(-968)) a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 149975680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186377, 372791, 559257, 745799, 932441, 1119207?\nAnswer: 1306121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3)*j*((j\/(j\/j**1)*j*j)\/j*j*j)\/j*(j**1*j*j)**(-41)*(j**(-1\/7)*j**4\/j)\/((j\/(j*j*j**(-5)))\/j**6) assuming j is positive.\nAnswer: j**(-820\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from bbbyxbbxbxxxxbxxxx.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 30*q - 225. Let d(j) = -34*j + 219. Determine 5*d(h) + 6*t(h).\nAnswer: 10*h - 255","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((h + 1 - 1)*(0 + 1 + 0) + 2 - 2 + h - 103*h + 64*h - 111*h)*(50 + 1 + 21) in the form w + g*h and give g.\nAnswer: -10656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-7))\/((-468)\/819)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -10 + 3 + 31?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*j + 300, 4*m + 343 = -j - 257. What is the units digit of -4*(-6)\/(-48)*m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (43 - 610)\/(-21) + (-8)\/(-12)*(-21)\/(-2)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-57 + 76 + 23)*(-f + 4*f - f) - 2*f - 2*f + 2*f + 0*f - 3*f + 2*f + (0 + 1 + 0)*(-f + 1 - 1))*(-11*f**2 - 11*f**2 - 27*f**2).\nAnswer: -3920*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2830110627 times -0.3?\nAnswer: 849033188.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {j: 6, a: 11, p: 1}.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.07 - 0.07. Let j = 1434.9 - 1435.2. Which is the second biggest value? (a) 39 (b) j (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3224 and 352.\nAnswer: 141856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + (-4)\/((-4)\/11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25*4\/(-200))\/((-5)\/42)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545 bigger than 3540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**3 - 8*p**2 - 3*p - 9. Let o = -6 + 4. Let g(a) = 10*a**3 + 24*a**2 + 9*a + 28. Let j(d) = o*g(d) - 7*n(d). Is j(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -88*w + 86*w + 104, -4*k = -5*w + 260. Suppose 5*i + g = 23, -5*i - w*g + 27 = -53*g. Solve i*q + 80 - 60 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -306*z**3 - z**2 - z + 2. Let p be w(3). Let u = 18085 + p. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7599)\/(-15) - (-2)\/5. Suppose -1056 = -5*o + 2914. Let w = o - v. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -649.5 - -649. Let m be 105\/(-45) + 1 + 2. Which is the third smallest value? (a) m (b) -0.4 (c) i (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, -31, -87, -169, -277?\n\"Answer: -13*j**2 + 9*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 115, 5, -2, 3, 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 39. Let f be 3\/(2 - l) + 2\/2. Solve 7*u - 5 = f*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 116 - 74 = 0. Suppose -208 - 40 = -2*d. What is the remainder when d is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11130.6 + -11131. What is the closest to 1 in 1\/7, 0, 2\/293, y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 1:42 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**8\/84 - v**6\/30 + 3*v**2 - 9*v. Suppose s(a) = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-10) - 181\/(-2). Let j = -142 + u. Is 8 a factor of (156\/5)\/(2 + j\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113130221230 (base 4) in base 8?\nAnswer: -27345154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 u when three letters picked without replacement from {g: 1, u: 4, d: 3, b: 11}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85837\/63441 - -156\/1007. Let y = -9\/7 + w. Suppose 77*i + 150 = 92*i. Is i greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1417 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 338848 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/(-78)*1332\/(-925)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8 - (1 + 54\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-43 - -90 - 41)\/((-15571)\/(-7784) - 2) a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f - f**3 - 5*f + (-2*f**2 + 0*f + 0*f)*(2*f + f - f) - f**3 + f**3 + 2*f**3 - 5*f + f**3 + 5*f in the form l*f**2 + u*f + r + s*f**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrrrrrrrmrrmr. What is prob of picking 2 r?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 763679 - 763679 + 0*v**2 - v**2 + 3*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450848125 a multiple of 625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c - 4*c - 1 + 1959999*c**2 - 2*c. Let t be w(-1). Round t to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0.1. Let n = -0.4 + 4.4. Let p = -7 + n. Which is the second biggest value? (a) -2\/13 (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l**3*n - 1885233*l**2*n - 47*n + 9146 wrt l?\nAnswer: 9*l**2*n - 3770466*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 17.3. Suppose -4*n + 10 = 26. Which is the nearest to 0? (a) n (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) - 282\/30. Is 19 a factor of t\/21 + (-958)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 645729.9 weeks?\nAnswer: 108482623.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -140231, -140198, -140161, -140120, -140075?\n\"Answer: 2*j**2 + 27*j - 140260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 + 0.08768\nAnswer: 0.12768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/(-3451)*-34)\/(7\/((-245)\/12)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/77 + (-20554)\/15050 + (-498)\/(-2475).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12480 and 1020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-931)\/189) + (-1300)\/(-54)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*l - 2*h, -4*l - 4*h - 13 + 1 = 0. Let m = 7322 + -7319. What is the closest to -1 in 2, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j = -10. Suppose m + 4 = 1, j*m + 44 = c. List the prime factors of c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(-2 + -6*(1 + sqrt(1053) + sqrt(1053)))**2.\nAnswer: 20736*sqrt(13) + 1820352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26ab31 - 4?\nAnswer: -26ab35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12632.3 + 11619. Let k = q + 1013. Sort -76, k, -1\/7, -5 in descending order.\nAnswer: -1\/7, k, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3894 + 4081. Calculate the remainder when v is divided by 70.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -8*y - 3. Suppose 0 = -3*d + y*w + 8 + 16, -5*w - 3 = 3*d. Let j(t) = -5*t**3 - 3. Let p(v) = -5*v**3 - 4. What is d*j(l) - 3*p(l)?\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 463, 1061, 1903?\nAnswer: 2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 - 0.2. Let m = 1.3 - q. Which is the nearest to m? (a) -1\/5 (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/198058 and 93\/26.\nAnswer: 2574754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4 + (-1349)\/(-284)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1247 divided by 3\nAnswer: 1247\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**16\/u))\/(u*u**(1\/4)))**(7\/2)\/((u**6\/u*u\/u**(-9))\/(u**9*u\/(((u\/(u\/(u\/u**(-5))))\/u)\/u*u))) assuming u is positive.\nAnswer: u**(-507\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 27\/2, -3, -0.01 in decreasing order.\nAnswer: 27\/2, -0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7617 less than or equal to -7617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeezezee.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-70)*14\/60.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*c - 4*c. Suppose 5*x - 25 = 0, 4*s - 41 = 5*x - 10*x. Suppose a + s*a = 10. Put -1, a, c in ascending order.\nAnswer: c, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o - o + 47030 + 30370. Does 200 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*j + 127*j + 1958 = 3*r, -1959 = -3*r + 3*j. Solve -647*i + r*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 + 383. Suppose -10*v = -12*v + l. What is the remainder when v is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130187 + 390585 - 437*w - 130197 - 130201 + 436*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18263 = 5*f - 2*k, 2*f + 5*k - 6266 = 1016. Let u = f - 29253\/8. Let o = -4658 - -65105\/14. Calculate the common denominator of u and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(192) + 0)**2.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 6*d + 2. Let l be p(-3). Let q(f) = -22*f - 91. Let y be q(l). Let r = 4 + -3. Are r and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1620 and 1164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w + 3*w - 3*w)*(-7 - 137*w + 3 - 4*w**2 + 141*w) + (2 - 2 - w)*(4*w - w**2 - 4*w) as m*w**3 + d*w**2 + k*w + v and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 191861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 + 73.6. Which is the closest to -383\/3? (a) -1 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2752 + 10555 - 3*k + 4*k + 7539.\nAnswer: k + 15342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/7)\/((-124599)\/42546)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-9) + 16\/6. Suppose 0 = -7*o + g*o + 24. List the prime factors of 58\/o + 1\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4323.17 to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5242457749 to the power of 1\/3, to the nearest integer?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 152708 (base 9) in base 4?\nAnswer: 112322333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 5*f**4\/12 + f**2 - 166*f. What is d(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t**(-5\/7))))**(25\/3)*(t**(-2\/9))**(1\/32))**(-27) assuming t is positive.\nAnswer: t**(-7179\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3726, -7453, -11180, -14907, -18634, -22361?\n\"Answer: -3727*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37716, 37715, 37714, 37713, 37712, 37711?\n\"Answer: -i + 37717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33790176 and 1776.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -5*d - 92, -5*o = -877585*d + 877583*d - 26 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6*g + 5*g - 6867, -y = -2*g - 1715. Suppose -2*q + y + 1881 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3677.478104 rounded to 0 dps?\nAnswer: -3677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*m*n**2*r**2 - 3*m*n**2*r + 2072*m*n*r**3 + 9*m*n*r**2 - 2*m*n*r + n**2*r**3 + 4*n*r**4 wrt r.\nAnswer: 12432*m*n + 6*n**2 + 96*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39844, 40043, 40376, 40843, 41444, 42179?\n\"Answer: 67*j**2 - 2*j + 39779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1268*m + 31. Is l(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3825)\/100)\/(1\/16*-2). Let i = -114 + v. Is i a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(((-8)\/6)\/(-4)). Let a = p + 21. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = -3*s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2365, -9338, -20951, -37204?\nAnswer: -58097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 48 = -17*x. Suppose 0 = -v + 3 - 7. Let f(j) = -j**2 - 6*j - 3. What is the remainder when f(v) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 71*s - 491. Determine q(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 7*m - 65. Let y = -180177\/14 + 12875. Let u = y - m. Calculate the common denominator of 59\/22 and u.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -77*w**4 - 184 - 80*w**4 + 160*w**4 + (-2*w**2 - 1 + 1)*(w**2 - w**2 - 2*w**2).\nAnswer: 7*w**4 - 184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -3*n**2\/2 + 3*n + 1. What is t(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -30.\nAnswer: -30.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 9:09 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -37*v - 5. Let r(c) = -19*c - 2. Suppose -3*h - 23 = 5*k - 29, -5*k = -5*h + 10. Calculate h*l(x) - 5*r(x).\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.019453 millennia in decades?\nAnswer: 101.9453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25851000 divided by 258510.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54684109?\nAnswer: 19, 419, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 260905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 17. Suppose 3*o = r*o. Suppose -11*s + 8*s + 1461 = o. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2210241, 2, -0.1, 1.1 in descending order.\nAnswer: 2210241, 2, 1.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7 - (1 + -3)*(-505)\/20 and -47\/1218?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56175591*p + 94006605.\nAnswer: -56175591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 12*u**2 + 17*u - 8. Let h(n) = -11*n**2 - 15*n + 9. Let v(a) = -5*h(a) - 4*m(a). Is v(-5) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**2 - 4*t + 3. Let y be f(3). Suppose l - y = -1. List the prime factors of l.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1562898 rounded to 4 dps?\nAnswer: 0.1563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -41.00000264. Round z to 7 decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 0)\/(2 - 9) - 450372\/(-42) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - b - 1. Let d be a(-1). Suppose -4*s - 3*n + 12 = d, -3*n = -5*s - 1. Suppose 5*v = 16 - s, v = 5*y - 7. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (379\/(-4) + 1)*86\/215 and 31\/13432?\nAnswer: 13432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*k + 7, -125*k + 120*k = -5*u + 10. Let i be (0 - -1)\/((-3)\/(-6)). What is the units digit of i\/u*21\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (3 + -12) - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2 - (-105)\/91.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 85 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*q - 46 = 124, m - 22 = -4*q. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-6)*(-2 - -3) - 29512\/(-83545) and -1\/660?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*g - 60 + 132 + 124 + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 737371*j**4\/3 - 9003631*j**3\/6 + 2367291*j**2 - 465525*j\/2 - 9 = 0. Calculate j.\nAnswer: -3\/77618, 2\/19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(3\/2))**33\/(c**(3\/2)*c\/((c**(-9)*c)\/c*c)) assuming c is positive.\nAnswer: c**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjmjj. What is prob of sequence jmj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.16482 + -5.16482. Let n = 0.1 + 0. Let d = -0.3 + n. What is the nearest to -0.4 in 1, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 u when three letters picked without replacement from {e: 2, u: 7, q: 2}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5841067 and 8.\nAnswer: 46728536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19 + 39)\/(-20)*(-2)\/(-203). Which is the fourth smallest value? (a) h (b) 7 (c) -0.1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 19.5. Let c = 0.1 - 0.15. Let k = 2.05 + c. Sort k, 5, h in increasing order.\nAnswer: h, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 740 = c - 491, 0 = 2*c - 5*j - 2477. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j*j*j**(-2))*j\/(j\/(j*j**(1\/2))) assuming j is positive.\nAnswer: j**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1003*k - 68846. Determine s(69).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 64158558.\nAnswer: 641585580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-27)*3)\/((-1012)\/138).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 221*f**2 + 91716*f + 413. Calculate s(-415).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172809*f**5*u**2 - 2*f**2*u**2 + 12*f*u**2 + 83657*f wrt f.\nAnswer: 3456180*f**3*u**2 - 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = 12. What is the units digit of 4*k\/(-2) - (-10 + 14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-14) - (-19)\/(-38). Which is the second biggest value? (a) -5 (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 2:26 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 6*b + 4*l - 355, -2*b - 3*l = -235. Calculate the smallest common multiple of b and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z\/z**(-10)))**(-1\/10))**(1\/17) assuming z is positive.\nAnswer: z**(1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*m + 33*m - 5*m**3 - 64*m + 0*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 + -200011?\nAnswer: -122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/5 + 44*c + 1210.\nAnswer: 2*(c + 55)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-9) + 4 - 14\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -697 - -700. Let o be 2\/2 + 2 + -2. What is the remainder when o\/((-2 - k)\/(-115)) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 49*m**2 + m + 38. Let h(q) = 139*q**2 + 5*q + 114. Let g(b) = 6*h(b) - 17*r(b). Give g(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -162*o + 1. Let f be j(-2). Suppose a = -2, l - 145 = -4*a - 23. What is the greatest common factor of l and f?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 at least as big as -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 4*b + 2*b)*(1 + 0 + 2) + 1 - 3*b - 1.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10}. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -64\/3*h**4 + 50*h**2 - 40\/3*h**3 + 4\/3 - 50\/3*h = 0. What is h?\nAnswer: -2, 1\/8, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {e: 2, w: 1, i: 1, x: 1, b: 12}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 4:27 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2771 and 36023?\nAnswer: 36023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 10:11 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19627335, -39254667, -58881999, -78509331, -98136663?\nAnswer: -117763995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 302*d - 17675. Give x(-77).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -1\/4, -0.2, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233218655 to the power of 1\/3, to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 23290073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58097.33 + 58423. Let x = w - 332. Let o = -6.1 - x. What is o rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59558, 59599, 59672, 59783, 59938, 60143?\nAnswer: 60404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 0 - 13*h + 0*h**2 + 2\/3*h**4 + 0*h**3. Let i(g) = -g**2. What is b(i(z))?\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2243, 80, 16, -1 in increasing order.\nAnswer: -5, -1, 16, 80, 2243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**3\/6 - 2*f**2 + 5*f. Let a be u(-8). Let d(t) = 2*t - 6. Let y be d(a). Is y greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3040)\/5700*4*4\/32?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 35 - 43. Solve -d = 6*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2.3. Let w = 0.7 - m. Which is the second biggest value? (a) w (b) 1\/2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 - (-58)\/(-8). Let r = l + 10. Suppose r*a - 38 = -p, -3*p - 5*a + 27 = -107. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75565 divided by -15113.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.6. Let u = 13.5 + 3.5. Let i = u + -12. What is the second biggest value in i, -0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1120 in 0.4, -2, -24, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5437291?\nAnswer: 5437291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 152 and -0.1.\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -25. Let l(d) = 2*d**2 - 16*d + 16. What is the smallest common multiple of t and l(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 0 - (30 - 27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by 42.\nAnswer: -73\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 133, 256, 379, 502?\n\"Answer: 123*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 3*b**3 + 171 + b + 36*b**2 - 173 - 361*b**2.\nAnswer: 3*b**3 - 325*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*s + 3*s + 101*s = 280 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5\/y)\/y*y)\/y**(-24)*((y\/(y**(-13)\/y))\/y)**(-2\/13) assuming y is positive.\nAnswer: y**(336\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhhw when four letters picked without replacement from wzwwwwzhzwwzhwzzzwz.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40134147 to 3 decimal places.\nAnswer: -0.401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -14\/3, 27\/695, -5?\nAnswer: 27\/695","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82 in -5, 2\/5, -1\/25, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. Let b = -341 + 346. Let n be 7 - ((b - 1) + -1). Solve r - w = -1, d = r - 5*w + n + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1115 + -1119. What is the third biggest value in 0, u, 27, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 6. Let x be (3 + o)*(2 - -5). Let n(g) = 5*g - 10. Is 25 a factor of n(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5ad4aa (base 14) in base 6?\nAnswer: 150353342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18323 - -18362. Which is the second biggest value? (a) -0.17 (b) r (c) 2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(272))*-3 + 1.\nAnswer: -15*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 7, -4, 0, -2 in descending order.\nAnswer: 7, 0, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a)**15 assuming a is positive.\nAnswer: a**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1385 or -1384?\nAnswer: -1384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3313, -3316, -3319, -3322, -3325?\nAnswer: -3328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + t + 10 - 3, 3*k - 18 = -t. Suppose -k*h + 13 = -17. Suppose h*f - 2*f - 36 = 0. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 11*z - 9. Let p be h(-12). Solve 0 = -3*k - u - p - 1, 2*u + 8 = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 7*f - 1216. Suppose -10 = 2*t, 2*t = -5*j - 111 + 196. What is the greatest common factor of j and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + 86580324.\nAnswer: 86580323.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162 - -217. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g = 22*g - 89994. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2159, 8634, 19519, 34892, 54831, 79414?\n\"Answer: 13*m**3 + 2127*m**2 + 3*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*z = -198*z - 3*g - 7, 0 = 5*z - g - 9. Solve -3*j + 25 = -z*t, 3*t + j = -j - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1581 - 11780927?\nAnswer: -11780932.1581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 0 - 12 = -2*b + 9*i - i, 3*i - 12 = -12*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 3 - 41\/(-1). Let i be (-9)\/(9\/(-2)) + -8. Let g = i + 16. Calculate the highest common divisor of g and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 4*c**2 - 11*c - 2. Calculate k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + (0 + sqrt(432))*-3)*-5)**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (235\/(-60) + 4)\/(110\/(-30) + 4). What is the closest to -1 in 7, n, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 + 11*d**2 + 2 + 4*d - d**4 - 10*d**2 to the form a*d**2 + h + t*d**4 + v*d**3 + g*d and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, -208 in decreasing order.\nAnswer: 5, -0.5, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 - 465*s\/2 - 39038.\nAnswer: (s - 596)*(s + 131)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2304)*2)\/(1*4*sqrt(12)*-1).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 1:10 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 736258323 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56635 - 40336. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*w - 73*w + 33*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*b - 4\/9*b**5 + 0 + 32\/9*b**3 + 32\/9*b**4 - 128\/3*b**2 = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 1\/6*y**4 + 0 - 3*y**2 - 2\/3*y**3 + 2*y. Suppose k(s) = 0. What is s?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11126 - 11129. Sort -2, z, -0.5, -34, 5.\nAnswer: -34, z, -2, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w - 5. Is x(-4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:03 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n - 28 = 2*q, -4*n + 45 = 5*q. Let d = 12 + -7. Solve 0 = -d*c - 5 + n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 - 18*j + 73. Let o be b(8). Let m = o - -263. Solve 2*n + n - 9 = m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a. Let i(r) be the second derivative of 0*r**2 + 0 + 0*r**3 - 1\/4*r**4 + 4*r. What is i(g(y))?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 950507726 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + (sqrt(1573) - (sqrt(1573) + 1)*1)**2*5)*4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682080323?\nAnswer: 12263, 55621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 16 = -3*o, -11*o + 20 = i - 8*o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/3)\/((-4)\/(-30)). Put 0, d, -1 in increasing order.\nAnswer: -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 0.28 (c) 5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*q - 200423 = 385261. List the prime factors of q.\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -o - 8, -1588*f + 1641*f - 5*o + 179 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 8.1471.\nAnswer: -16.2942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 336*f - 673*f - 184*f**2 + 337*f to p*f + z + j*f**2 and give j.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -18272722994.18.\nAnswer: -18272722997.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**3\/3 + 17*s + 7. Let h = 1 + -1. What is the tens digit of u(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -319, -636, -953?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + 53*t + 28. Let w be f(27). Solve -2*q - 12 = -5*g, 0*g - w = g + 3*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 - -119. Find the second derivative of 262*x**4 + 1 - 226*x**4 - 1 + z*x wrt x.\nAnswer: 432*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 438246 = -234969. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-16))\/(2*(-2)\/4). Let y(z) = 1205*z + 7. Let x be y(a). Suppose 8*n = 4*n + x. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c - 6. Let b be (466 - (3 + c)) + 5. Let z = 678 - b. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100002 (base 3) in base 15?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2789 + 8244 = -649*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -85, -522, -0.3?\nAnswer: -522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millennium in decades?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -3\/8, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -196*q**2 + 183 wrt q?\nAnswer: -392*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308380 - -5.\nAnswer: -308375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 16*z + 7)*(-5 + 6 + 0)*(-25 + 19 - 2*z + 3*z).\nAnswer: -16*z**2 + 96*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 512567805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3905607 and -35.\nAnswer: 136696245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -740 = -14*q + 1038. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(-1*sqrt(84) + sqrt(84) - sqrt(84)) - sqrt(84)) + sqrt(84))\/(-1*1*sqrt(3)))\/(-3*(sqrt(196)*-2 + sqrt(196))*4).\nAnswer: 5*sqrt(7)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30332100002 + 2?\nAnswer: -30332100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*j - 32*j - 67*j = 321*j + 7090 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54136*t**4*x - 7641*t**2 + 2*t*x - x wrt t.\nAnswer: -1299264*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (-2*(sqrt(133)*1 + sqrt(133)) + sqrt(133) - sqrt(133) - sqrt(133)))\/((1*sqrt(84))\/sqrt(12)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -5. Let i = 3.228 - -1.772. Let m = -1 - -2. Which is the nearest to m? (a) i (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -9\/2*y**2 + 12*y + 241 - y**3. What is a in j(a) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(759\/(-95) + 8) is divided by (-2)\/(-6) + 285\/9.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-794)\/6)\/(16\/(-12) - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 1. Let y be i(1). Suppose -y + 9 = 4*s. Solve -s*a = -4*k + 10, -2*a + 29 = a + 5*k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-490)\/(-343)*28\/(-16)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -67*a**2 - a + 2. Let i be n(2). Let s = -126 - i. Suppose 0 = -5*u + s + 73. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*u - 30 = -547*u - 5*v, -5*v + 15 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 147 - 3. Let x = -2531 - -2731. Calculate the highest common divisor of x and z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001002022 (base 3) to base 8\nAnswer: 47772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -2*p, -2*p + 13 - 29 = 3*a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 166556*w - 2664896. Give m(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 6. Is -5\/6 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 66 in decreasing order.\nAnswer: 66, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2479\/2841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 144017 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 111101101001?\nAnswer: 111101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 - 4) - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-27) + 6\/(-27). Let i(z) = 3*z - 2*z - 2 - 2*z + a*z**3 + 6*z**3. Let v(s) = s**3 - s - 1. Let y(l) = i(l) - 3*v(l). What is y(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*u + 12064 = -2*u - 124*u for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a + 25, 0 = 3*m - a - 11. Let l = 10 - m. What is the smallest common multiple of l and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-12)\/(-2))\/(-6))\/((-1)\/181). Suppose -d - s = 4*s - j, -d - s = -161. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - -0.6. Let x(a) = -3*a**2 + a - 1. Let j be x(1). Let v = 2.2 - -0.8. What is the biggest value in s, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8412698 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**4\/4 + 7*o**3 + 11*o**2 - 2*o - 34. Let h be t(22). What is the third smallest value in 1, h, -2\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(3200) - sqrt(3200)*2) + -3))**2 - 2*-2*(sqrt(4) - 2*sqrt(4))\/sqrt(2)*6.\nAnswer: 5976*sqrt(2) + 80225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 15) in base 8?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 280 + -3?\nAnswer: 27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*a - 15. Let v = 189 - 189. Suppose -2*s = -v*w + a*w - 23, 5*s = -5*w + 55. What is the greatest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Suppose -4*g + g = -30. Calculate the highest common factor of g and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1677*u = 1674*u - l - 31, -u + 2*l = -34 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 11:04 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*d + 2, -16 = -3*y + 5*d - 10. Let t(p) = p**2 - 3. Determine t(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3818944 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 68165 divided by 13633\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 6*v - 3*v - v + (7 - 3 + 0)*(-v - 1 + 1).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -2*t**3\/3 - 2*t**2 + 16*t - 59. Find m such that g(m) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v - 2*v + 3*v + (-254 + 254 + 20*v)*(-3 + 0 - 2) in the form j + g*v and give g.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.2881321 rounded to one decimal place?\nAnswer: -97.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 5. Let k = 16 - 10. Is w(k) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (5 + (19 - 4)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 3*p**3 - 2*p**3 + (-11*p**2 - 4*p**2 - 8*p**2)*(-p + 2*p - 5*p) to the form x*p + v*p**3 + o + r*p**2 and give v.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/7)*v**3)\/(v\/(v*v*v**(-4)*v)*v\/(v**(-1\/6)*v)) assuming v is positive.\nAnswer: v**(59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397069, -397061, -397053, -397045?\nAnswer: -397037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-10))\/(12\/(-32)*2). Find m, given that l*m**2 - 8\/5*m + 8\/5 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.02 - -0.52. Sort -7, r, 0.1.\nAnswer: -7, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3104341 (base 8) to base 9\nAnswer: 1481757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, -220, -540, -960, -1516, -2244, -3180?\nAnswer: -4360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + -36 + 33 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, m: 4, x: 2, f: 1}. What is prob of sequence mfxr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 667 + -666.8. Sort -1\/12, 1\/3, 4, r.\nAnswer: -1\/12, r, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**3*y - 3158*a**2*y + 12*a*y - 4606593*y + 1 wrt a.\nAnswer: -12*a**2*y - 6316*a*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + w - w + 0. Let f(l) = -2*l**2 - 6*l - 6. Suppose -5*n + 1 - 31 = 0. Let v(u) = 2*u**2 + 7*u + 7. Let z(c) = n*v(c) - 7*f(c). What is r(z(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (135 - (7 + -38 - -71)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -23349, 2, -16 in increasing order.\nAnswer: -23349, -16, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1211032240 (base 5) to base 7\nAnswer: 33025443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 a, 1 z, and 1 h when four letters picked without replacement from azgffkzh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwwnwbwnnwbwnb. Give prob of sequence bbbw.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -28\/209, 0.1, -5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4235, -4494, -4927, -5534?\n\"Answer: -87*s**2 + 2*s - 4150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35*c*k**2 + 124519*c + 30721*k**2 - 1867 wrt c?\nAnswer: 35*k**2 + 124519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4. Let u(m) = -m - 2. Let l be u(k). Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*(sqrt(425)*4 - sqrt(425) - sqrt(425)) + -1 + -3*sqrt(425))*-1 + 2)**2.\nAnswer: 270*sqrt(17) + 34434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 5:10 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*i + 26*i + 140 = -53*i. Let p = 46 - 26. Solve -i*a + 5 = -p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.95205 rounded to two dps?\nAnswer: 5.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 234447.\nAnswer: 937788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**3 + 21*g**2 + 6*g - 29. Calculate the remainder when 1104 is divided by q(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 - 195?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 21 = 7*h - 5*h, -5*h + 2*j = 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*u + 170*u - 321*u.\nAnswer: -547*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -5 (c) 153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/11270 and -37\/315?\nAnswer: 101430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 6. Let h be t(6). Suppose 6*r - r = h. Suppose -5*n + r*n = -120. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:22 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/14997840 and -163\/367080.\nAnswer: 104984880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19170 by 9.\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {p: 1, r: 1, n: 1, h: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47897350 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 4 (c) 10\/3 (d) -5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 31090*j**2 - 124425*j + 93330.\nAnswer: 5*(j - 3)*(j - 1)*(j + 6222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and -14960.\nAnswer: -14966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -315*n**2 + 2*n + 315*n**2 - 120*n**3 to the form w*n**3 + i + q*n**2 + x*n and give w.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-101 - -20)\/(((-2)\/174)\/1).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(132)\/sqrt(4))\/sqrt(3)*-4.\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 times -311?\nAnswer: 52.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 3 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 17, 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472770207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.1, 0, 9\/82, 9, 4 in increasing order.\nAnswer: -3, -0.1, 0, 9\/82, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1539632*q - 1539557*q - 3900 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.849 + -0.151. What is the second smallest value in -0.1, r, 40?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smk when three letters picked without replacement from bsmmsmkbkm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.2 - 21. Let c = -2.2 + t. Let s = c - -16. What is the nearest to s in -1, 2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w = 20. Suppose 5*b + 1872 = 13*b. Suppose -2*a = -d + 20, w*d + 74 = -2*a + b. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**3 - 632*w**2 - 1943*w + 28. Give n(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3712 and 453664.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = -0. Let x(w) = -w**3 + 8*w**2 + 6*w - 6. Let t be x(9). Let u be (2 + t\/9)*-3. Sort u, r, 1 in decreasing order.\nAnswer: u, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (11 - 6) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/19076 and -9\/13086136.\nAnswer: 13086136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 9*y**2 + 8*y - 20. Give w(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 271730215 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 11. Suppose 4*v = 3*r + 7, s*r = -v - 2*v + 27. Find the third derivative of 59*i - r*i**5 - 59*i + i**2 wrt i.\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 43870.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0 - 1\/6*v**3 + 28*v**2 - 5\/8*v**4 + 0*v. Does 22 divide y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.16906 to 1 dp.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 4*o**2 - 5*o - 2. Let m be l(5). Let b be m*(9 - 2) - -2. Let j be (-52)\/b + 2\/3. What is the nearest to -1\/3 in j, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*s + 4*p + 5, -15 = -4*s + p. Suppose 6*b - f = s*b + 186, -2*b - 4*f + 186 = 0. Calculate the remainder when b is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/60 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2011419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-69)*1 + 0. Let w = 0.18 + 6.82. Let f = w - 6. What is the biggest value in 4, y, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 120, 0 in ascending order.\nAnswer: -5, -2, 0, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*r + 665, -4*h + 0*h = -2*r + 414. Suppose -s = -4, -l + s + 8 = 3*s. Suppose -5*u + r = -l*u. Calculate the remainder when 169 is divided by u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15275 smaller than -15276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -0.2, -1\/12, -1\/3, 3, 5\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 25 = 2*y. Solve 4*v + 36 = 5*z, 0*v + 2*z = -y*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*c + 187*c - 6 + 70*c**2 - 29 - 61*c in the form z + o*c + i*c**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 12 = -11*o. Suppose o*x - 3 = 318. Suppose 0 = -2*s + 117 - x. Solve 2*c + 30 = -3*c + s*k, -k = -5*c - 22 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-1\/4))\/d)\/(d\/(d**(2\/5)\/d)) assuming d is positive.\nAnswer: d**(-17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13*n - 45. Let h be k(4). Let r(p) = 0 - 23*p - 34*p - 8 - 3. Let i be r(h). Round i to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 0*s**2 + 6*s**2 - 7*s**2. Let q(z) = 4*z**2. Let u(a) = a**2. Let l(p) = -3*q(p) + 24*u(p). Determine l(k(m)).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(108)*2 - (sqrt(108) - (-5 + sqrt(108)*-1)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -572 + 5141\/9. What is the common denominator of -3\/5 and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Let d be 4\/(-180) + 1\/(-5). Let j = -1 - -2. Sort k, d, j.\nAnswer: d, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 168, 3, -1\/5, -4\/175?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150 - -4325?\nAnswer: 4135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -41, -4, 20 in ascending order.\nAnswer: -41, -5, -4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4077367794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19\/10 + -43\/20. What is the common denominator of x and 89\/1374?\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*y + 59, -5*m + 3*y = 7*y - 323. What is the remainder when m is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -250191, -500183, -750173, -1000161?\n\"Answer: r**2 - 249995*r - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 9267?\nAnswer: 9263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-731)\/153 + 5 + (-46310)\/(-18). Are u and 2575 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 124923.\nAnswer: 1\/41641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 449713 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 11*p - 40. Let o(x) = x**3 - 6*x**2 + 5*x + 6. Give o(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2. Let u be ((-1)\/v)\/((-3)\/(-15)). Suppose u = -4*m - 11. Sort 4, 0, m in descending order.\nAnswer: 4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -313*-54.045.\nAnswer: 16916.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 2420 = 2*m. Let x = m + -122. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + w**2 - 1. Let y(m) = -25*m**2 + 25*m - 5. Suppose -4*p - 4 = -0*p. Let g(j) = p*y(j) - 5*a(j). Factor g(f).\nAnswer: -5*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.3196 - 2.7196. Let u = 4 + 0. What is the closest to 0 in u, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.1. Which is the closest to 3\/2? (a) -4 (b) 1\/6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 85*w**2. Let m(v) = -40*v**2 + 24*v**2 + 14*v**2. What is m(g(q))?\nAnswer: -14450*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174 less than 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(19) + 0)**2 + -1)*-4 + -1 - -1*((sqrt(171) + 3)**2 + sqrt(171) + sqrt(19) + (1*sqrt(2736))**2).\nAnswer: 22*sqrt(19) + 2831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-15)*(v\/(((v\/(v*v**(1\/31)))\/v)\/v))\/v assuming v is positive.\nAnswer: v**(-402\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 192\/(-14) - 2\/7. Suppose 0 = s - 2*s + 10. Is (1*y)\/((-4)\/s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 79*b**2 + 39 + 8*b - 5 as d*b**2 + m*b + w and give d.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -3)*3 + 4)**2.\nAnswer: -210*sqrt(13) + 5758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -2 (c) -2\/5 (d) -5 (e) -0.18 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3628 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 11:17 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-4))\/(-3)*(-210)\/56*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-84) - (-6)\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - k)*((-1 + 1 - 2)*(-2*k**2 - k**2 + 2*k**2) + (2*k - 2*k - k)*(0 - 3*k + 0)).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/39)\/(((-3008)\/47)\/128)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010000100000110 (base 2) to base 5.\nAnswer: 21003134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*u = 5 + 8, c - 7 = 3*u. Solve -k = -h - 2, -2*h = k + 3 + c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, 5, -55, 1\/5 in decreasing order.\nAnswer: 5, 1\/5, -55, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, w: 1}. What is prob of sequence ffwf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 77006*m + 9 - 77011*m - 8 - 10 - 28. Determine j(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -653 - -194. Let a be (-46 - 0)*r\/18. Suppose a = -6*l + 9*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 - 4*i**2 + 4*i**2 - 4 + i**2 to h*i + s*i**2 + p and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615060*r - 615080*r + 1230147*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 3. Let g(a) = 2*a**2 + 8*a + 2. Let t be g(-5). Let o(v) = 6 + 6 - v - t. What is o(m(f))?\nAnswer: 2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*j = -2, -4*i + 321 - 325 = j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*c + 5, -5*z = 4*c - 27. Let y(x) be the first derivative of 0*x**z + 0*x**2 + 4\/5*x**5 + 5 + 0*x**4 - 10*x. Differentiate y(m) wrt m.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1752275555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 144*d + 756.\nAnswer: 3*(d - 42)*(d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 997, 939, 839, 685, 465, 167, -221, -711?\nAnswer: -1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/48*(-2)\/2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2305*v + 6484. Let y(j) = 3*j**2. Determine h(y(t)).\nAnswer: -6915*t**2 + 6484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - w**3 + w**2)*(-62*w - 37*w + 4*w).\nAnswer: 95*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2480 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3, -103, -5 in decreasing order.\nAnswer: -3, -5, -21, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 2. Suppose 0 = 3*t + 8 - 38. Let b = 16 - t. Calculate the lowest common multiple of k(5) and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + -1 + sqrt(99)) - (-5 + (sqrt(99) - (sqrt(99) - (-1 + sqrt(99)))) + sqrt(99))*-5)**2.\nAnswer: -1260*sqrt(11) + 5751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19178654 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((-151)\/(-3926))\/(3\/(-990)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38845 and -0.4?\nAnswer: 15538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/4375 and 59\/1575.\nAnswer: 39375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 12:34 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minus -4.71?\nAnswer: 81.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17632 and 524031856.\nAnswer: 8816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1584) + sqrt(1584) + 3 - sqrt(1584) - sqrt(1584))*4*1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(19) + 2 - sqrt(19)) + sqrt(76)\/(sqrt(4)*-2))**2 - (sqrt(684) - ((sqrt(684) - -3*sqrt(684)) + sqrt(684)))*2.\nAnswer: 19\/4 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -45 + (14\/1456*96)\/((-4)\/(-26)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2. Let a(w) = -161608*w. Give y(a(l)).\nAnswer: -52234291328*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-145)*(-160)\/(-64).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (64282*(-1)\/8)\/(4\/(-16)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b77 - 1?\nAnswer: 3b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4007147 to the power of 1\/2, to the nearest integer?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 9:17 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7806424 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/216 and 91\/129936.\nAnswer: 1169424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 99118735 at most as big as 99118739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(76) + sqrt(76)*1 + sqrt(76)))\/(((-1*sqrt(144) - sqrt(144)) + sqrt(144) - sqrt(144)) + sqrt(144)))**2*-6.\nAnswer: -513\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 b, and 1 t when three letters picked without replacement from {t: 3, s: 5, b: 2, f: 8, i: 2}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6)*(10 - 1). Let m(t) = -t**3 + 2*t**2 + 5*t - 2. Let u be m(g). Do 4 and u have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 2*v - 212. Let b = 60 + v. List the prime factors of (-22)\/(-77) + 19\/b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - -32. Let n = o + -12. Suppose 0 = -5*j + 2*j - 12, -5*z = -5*j - 45. What is the highest common factor of n and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 13 = -h, 5*h - 2 = -2*j + 3*h. Factor -w - 1\/4*w**4 - 3\/2*w**2 - w**j - 1\/4.\nAnswer: -(w + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8325 = -w - 3*x, -2*w + 16610 = -9*x + 5*x. What are the prime factors of w?\nAnswer: 3, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240 - 872 - 36*a + 378 - 39*a + 73*a + 254.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from {p: 3, w: 1, f: 1, d: 4, q: 1, n: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 41*s**2 + 6. Let y(h) = 8*h**2 + 1. Suppose -2*o - 10 = 3*o. Determine o*b(u) + 11*y(u).\nAnswer: 6*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1204885, -1204570, -1204037, -1203280, -1202293?\n\"Answer: s**3 + 103*s**2 - s - 1204988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4176\/(-1044) - (54\/(-4))\/3. What is the nearest to 0.48 in 0.4, -0.5, s, -2\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1 + sqrt(432) + 1)**2 + -2*sqrt(432)*2)*-3 + -2.\nAnswer: -1295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1655054*z**4 + 76*z**3 + 41*z**2 + 836208 wrt z.\nAnswer: 39721296*z + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -1000130011?\nAnswer: -1000123331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t - 1. Let g(r) = -29169*r. Determine x(g(y)).\nAnswer: -116676*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:29 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20\/937 + 6226\/379485. Let r = m - -542\/405. Suppose 0 = 2*g + 2*z - 18, 0 = -g + 3*z + 1. Which is the closest to -1? (a) g (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -61. Let o be 4 - 7 - (g + -5). Solve -h + 10 - o = 4*s, -3*s + 5*h = 22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/40 and (34\/(-30) - -1) + 322\/(-360).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1203850*p*x + 218548*p + 5 wrt x?\nAnswer: 1203850*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.251 and 10.037.\nAnswer: -143.037287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 1, j: 1, f: 2, y: 5}. Give prob of picking 1 f and 1 o.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1094 + -1833. Let q = -8927\/12 - o. What is the common denominator of (-1477)\/420 - 4\/10 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-220)\/18 - (-4)\/18. Let d be (i\/16)\/(42\/(-16)). What is the third biggest value in 4, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(23\/(-35) - 2\/14). Suppose 13071 = 7*l - i*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -11*o**5\/60 + 2*o**2 - 3. Let c(n) = -20*n. Determine t(c(l)).\nAnswer: -4400*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2. Let x(l) be the third derivative of -l**5\/60 - l**3\/6 + 17*l**2. Let h(w) = -5*w**2 - 9. Let s(t) = -h(t) + 4*x(t). Calculate s(d(g)).\nAnswer: g**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 2 - 2*p**3 - 5*p + 7*p + 4*p**2 + 2*p**4 in the form v*p**4 + u*p + b*p**2 + n + w*p**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 9 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b**4 - 3*b)*(-5 + 1 + 3) + (-2*b**2 + 0*b**2 + 3*b**2)*(3*b**2 - b + b).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 18505222.9 to the nearest 10000.\nAnswer: 18510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -512.36 - -497. Let u = r + 18. Round u to one dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 136 - 4. Let i be (-42)\/12*5\/l. Which is the nearest to 7? (a) i (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 10*b**2 + 13*b - 8. Calculate the remainder when w(9) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -652, -753, -920, -1153, -1452, -1817, -2248?\n\"Answer: -33*g**2 - 2*g - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 18 = 50 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 75.4821 - -0.0988\nAnswer: 75.5809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 453 - 874. Let y = 1830 + b. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8091 - 8090. Let y(a) = -4*a. Let x be y(-1). Let u = 7 - x. Solve 7 = -u*d + f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 749717502?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-3)*(-1386)\/45045.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54559901 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 4*z + 16. Let c(w) = w**3 - 15*w**2 + 29*w - 10. Let d be c(13). Solve -y = -o + y + 7, -d = 3*o + z*y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-14)\/6 - 9865\/(-3). Suppose v = 12*v - j. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 29294.9.\nAnswer: -8788.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 408 and 612.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 17 = -2*s. Suppose s = 15*f - 120 - 1005. Calculate the remainder when f is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/468*9\/(-2). Which is the biggest value? (a) 0.3 (b) -2\/57 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**2\/2 + 6*y + 10. Let v = 7 + 0. What is the units digit of o(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -8 + 6. Let h(k) = 2 + 0 - 2 - k**w. Let n(q) = -12*q**2. Give h(n(c)).\nAnswer: -144*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 339895 (base 12) to base 4\nAnswer: 3021202301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q - 41. Let j(u) = 2*u - 14. Calculate -17*j(c) + 6*l(c).\nAnswer: 2*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7957239\/3208 - -1428\/401. Let o = 2481 + k. Let s = -363\/4 - -185\/4. What is the common denominator of o and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.4, 12, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7641*h = -7719*h - 2418 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 2. Let y be z(-2). Suppose 4*x = -5*j + 40, -3*j + x - y*x + 17 = 0. Suppose 5*o - 4*o = j. Solve -2 = l + 3*v + o, 2*l - 4*v - 8 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.3, -2, 0.139, 458, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c = z + 480, -z - 2*c - 510 = 0. Round z to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 12*k**2 - 10*k + 172. Let z be w(10). Calculate the highest common divisor of z and 240.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -9*f**3 + 17*f**2 + 13. Let z(m) be the first derivative of m**4 + 0*m**2 - 6*m + 2 - 8\/3*m**3. Let o = -7 + -6. What is o*z(u) - 6*x(u)?\nAnswer: 2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212 and 16430.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0251887681 to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = x + 2*i - 1, -2*x - 2*i - 8 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*d + 21*d + 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z + 480. Suppose 0 = -k + 4*b - 4, 4*k + k - 4*b = -4. Suppose -6*l + 384 - z = k. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2279916889?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Let v = -0.4 + 0.5. Let a = v - 0. Sort r, 1, a in ascending order.\nAnswer: a, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8194600 divided by 1638920\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 63895301 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 603981 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101535 (base 6) to base 15.\nAnswer: 2665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 3*o**2 + 2*o + 1. Let b(m) = -4*m**3 - 13*m**2 + 9*m + 6. Let k(q) = -2*b(q) + 9*g(q). Give k(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -3 - (-10 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -150 and 0.4.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -2 + 4 + -2. Suppose -l*g - 6 = -2. Let c(a) = 20*a**2 + a. Does 11 divide c(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92*k**2 + 27*k + 14120 with respect to k.\nAnswer: -184*k + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -14*v. Let c(k) = -377*k**2 - 2*k - 2. Let j(t) = -65988*t**2 - 351*t - 351. Let p(g) = -351*c(g) + 2*j(g). What is h(p(l))?\nAnswer: -4914*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 25*q + 22. Let k be h(4). Suppose -2*n - 3*y = -k, -4*y + 10 + 6 = 0. What is the greatest common divisor of 22 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 101*t - 8*t. Is -3\/6166 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**4\/12 - 8*d**3\/3 + 8*d**2 + 5*d. What is the remainder when l(-16) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1647 + 1657 + 21*n**2 - 3304. Let x(y) = 19*y. What is x(a(q))?\nAnswer: 399*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmbmbmbmmt. What is prob of sequence bbt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*h**6 + 12214253*h**4 - 85296230*h**2.\nAnswer: -1440*h**3 + 293142072*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152015024 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -932*n. Let d(b) = 2*b. Give g(d(q)).\nAnswer: -1864*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*d**6 + d**5 + 7*d**4 - d**2 - 975.\nAnswer: -4800*d**3 + 60*d**2 + 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**3*z**3 - 281452*k**3*z**2 + 11*k**2*z**3 + 2*k*z**3 + 9750*k wrt k.\nAnswer: 24*z**3 - 1688712*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + a?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 628 = 4*u, 2*u + 299 = 2*r + u. What is the smallest common multiple of r and 22?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*r*(r*r\/r**(3\/8)*r)\/r*r)\/(r**(2\/7)\/r)**(-23\/4) assuming r is positive.\nAnswer: r**(-27\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 3649737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 866*r**3 - 65*r**2 + 195*r**2 - 1 - 868*r**3 to the form q*r**3 + h + k*r**2 + c*r and give k.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -2\/13, 0.6, -4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -0.4, -2\/7, -1502, -3, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7412983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 840\/430 - 16\/(-344). Let t(w) be the third derivative of 0*w + 2\/39*w**3 + 8*w**d + 2\/195*w**5 + 1\/780*w**6 + 0 + 5\/156*w**4. Factor t(a).\nAnswer: 2*(a + 1)**2*(a + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97195974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2136181*b*j**4 + 148*b*j**2 + 501*b - 798058 with respect to j.\nAnswer: 8544724*b*j**3 + 296*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69 (base 15) to base 11.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 plus -17.27?\nAnswer: -71.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 12*t + 23. Calculate j(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3581\/4, 0.3, 0.\nAnswer: -3581\/4, -2, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 460 + -463. Let s be o\/(-5 - ((-5754)\/2886 - 3)). Calculate the greatest common factor of s and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -10*r + 4. Suppose 3*l + 2*a + a = 132, -3*l = r*a - 134. What is the highest common factor of l and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * 67732\nAnswer: -7450.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 3*g + 12. Suppose -g = -k + 1. Suppose -n + 15 = 2*n + a, 0 = 4*a. Is n greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -8 - ((-348)\/(-36) - 18). Solve 2\/3*m**3 - z*m + 0 + 2\/3*m**2 = 0 for m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -356, -2415, -5810, -10511, -16488?\n\"Answer: 5*u**3 - 698*u**2 + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18338029.\nAnswer: 41, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 12. Let l be b(4). Suppose 2*d - 5*d + 162 = l. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2548.547s?\nAnswer: 2548547000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20865683.\nAnswer: 2713, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.41 + 0.41. Let k = 445\/23452 - -2\/533. Sort v, k, 4, 4\/5.\nAnswer: v, k, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 - (-53 - -29 - -51).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*b + 64 = -187*b. What is the remainder when b is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -6 (c) 89 (d) 4 (e) -3\/4 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 2. Let s be 4\/12 - (82\/(-6) - -7). Is (s\/2 - -5)\/(i\/(-134)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 8981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 1377 = -y. Let f = y - 146. Solve 5*u - f = 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4 + 165*t**3 + 1449*t**2 + 4563*t + 4860 = 0 for t.\nAnswer: -45, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 4. Suppose c + 2*c = 24. Let h be (c\/18)\/(-2)*1. Is g equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243117138 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 - 34. Let s = 0.247 - -28.153. Let x = k - s. What is x rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113431 (base 15) to base 14\nAnswer: 17531d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 6 - 3*u - 5*u. Suppose 154*p - 174 = 184*p + 6. Give v(p).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*w + 32, -w = 5*t - 37 - 31. Let y = t + -2. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*f + 3, -3*s = 20*f - 17*f - 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 262 + -97. Let r = v - 93. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/7 + -1 + 4. Let b = -569 - -572. Suppose o + 1\/8*y + 1\/8*y**4 - 1\/8*y**b - 1\/8*y**2 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7 + 5 = 0. Suppose 0 = -2*p - 16, 4*z + 243*p = 247*p + 32. What is the nearest to z in -0.5, v, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (44 - 47))\/(2 - 301\/168)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -77?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14345732 and 5696?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1034 and 242?\nAnswer: 11374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 150?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14378 - 27365. Let k = 6117 + d. What is k rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1451.4*0.1.\nAnswer: 145.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9970 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v - 49. Let a be b(6). Suppose 50 - 5 = a*y. What is the lowest common multiple of y and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Suppose z + 2*z = p. Suppose 5*q + 4*y - 6 = 0, -3*y = -4*q - z*y + 11. Solve a + 1 = q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 4 (c) 5\/3 (d) 0.06 (e) 1\/2 (f) -49\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 3)*(p**4 - 5*p**4 + p**4) - 2*p**4 + 2*p**4 - 2*p**4.\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 184\/1150*-45*((-20)\/3)\/2\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -1. Let h = 0.55 + -4.49. Let l = h + a. Round l to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1645, -13156, -44413, -105292, -205669, -355420, -564421, -842548?\n\"Answer: -1646*l**3 + 3*l**2 + 2*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*x**3 - 6*x**3 + 11*x**3.\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -499\/7 - -71. Let r be 0*((-24)\/9 + 3). Are n and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4398557 + -246.5078443. Let o = 0.0523 - h. Let u = 246.9819 - o. Round u to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**4\/2 - 1269*n**3 + 16194*n**2 + 41301*n - 112455\/2 = 0?\nAnswer: -3, 1, 15, 833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 105. Let d = -28 + i. Suppose d = 5*k + 6. Which is the closest to 1\/4? (a) 0.1 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -9. Suppose -2*x - l - 5*x**4 + 2*x**4 + 0*x**4 + 4*x**4 + 2*x**3 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1633 (base 13) to base 3\nAnswer: -11110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*w = -24, 8 = -4*w - 3 - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3431333881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 5*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -43. Suppose 27*u = o*u. Solve u*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -z + 82. Suppose z = 6*m + 4. Solve 8*n - 4*n + m = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1. Suppose 0 = b + 109 + 30. Let j = b - -140. Let c(v) = -v + 1. Calculate j*c(s) + 3*p(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**2 + 142*y - 59. Calculate q(-24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwwwcc. Give prob of sequence ccc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109 - -111. Solve n*y = -0*y + 2, -r = -3*y + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 18*u + 4 - 63. Let c(r) = -2*r - 8. Let z be c(-6). Solve z*i - 4*f + 0*f = -8, -u*i + f + 1 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6485 + 6471. Which is the nearest to i? (a) 3 (b) 0.4 (c) -0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**3 - 12*v + 14. Determine l, given that b(l) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -3*c + 294. Suppose c = 3*x - 69. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(832)*-2))**2.\nAnswer: -64*sqrt(13) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -15*q - 361 - 357 + 1436 - 355 - 360. Let w(n) = 22*n - 1. Let s(y) = 22*y - 2. Let i(b) = -3*s(b) + 2*w(b). What is 5*i(v) - 7*t(v)?\nAnswer: -5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10870 is divided by 239?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 427503350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4\/5 - 3096*b**3\/5 = 0?\nAnswer: -1548, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 10. Let s(n) be the first derivative of -n**4\/4 + 10*n**3\/3 + 3*n**2 - 7*n + 3. Is s(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca51 (base 15) in base 13?\nAnswer: -16654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7428 is divided by 752?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*h**4 - 2*h**4 - h**4 + (-4*h + h + h)*(-6*h**3 - 4*h**3 + 4*h**3).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2471458, -8\/3 in descending order.\nAnswer: 2471458, -2, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102301?\nAnswer: 102301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.45? (a) -3 (b) 0.2 (c) -2\/5 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/5 - 3\/15. Sort -8, x, -5 in decreasing order.\nAnswer: x, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 + 105 + -90?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 2\/3 (c) 8 (d) 17\/4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1242*q + 4005 = -49*q - 1960 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4261 > 4261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010553411779 to five decimal places.\nAnswer: -0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 9) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/((-10)\/(-4) + -22 + 18). Solve 4*g = 4*m + 12, -2*m = 3*m + c*g - 30 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -596, -1296, -2262, -3488, -4968, -6696?\nAnswer: -8666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*16*(-21)\/((-1344)\/208)*2486\/904.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**0*w**(-7)\/w)**(4\/25)\/((w**(-2\/3)\/w)**(-42)*(w**(-2\/7)\/w)\/(w*(w\/w**(-1))\/w)) assuming w is positive.\nAnswer: w**(-11871\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68137036 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -6. Let m(h) = 7*h - 5. List the prime factors of m(x).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 41*s**4\/4 + 14*s**3\/3 + 10289*s**2\/2 + 10007. What is the second derivative of c(l) wrt l?\nAnswer: 246*l + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**3 - i**2 - 3*i - 2. Calculate the remainder when 86620\/923 - 4\/(-26) is divided by m(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 + v - 626 - 3546 - 3929 to the form q + n*v and give q.\nAnswer: -8064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -41. Solve j = 2*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w - 1117 - 1138 - 1068 + 3315.\nAnswer: 17*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25416 by 2118.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -13 (b) 1\/11 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420201658.\nAnswer: 2, 59, 373, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235859815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from {x: 1, w: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q + 7. Give j(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.212 + -0.012. Let d = u - 11.2. Let q = -2 + 1. Which is greater: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58536941.1 to the nearest 1000000.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7425865*-0.1.\nAnswer: -0.17425865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 198*s**3 + 10*s**3 - 10 - 314369*s**2 + 314375*s**2 wrt s.\nAnswer: 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331210 (base 4) in base 9?\nAnswer: 5357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**3\/2 + 2*v + 3. Let c(a) = 12*a + 1. What is c(k(o))?\nAnswer: 36*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*m = -498*m + 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*a**2 - 66*a**2 + 57*a**2.\nAnswer: -151*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 + -68. Calculate the highest common factor of g and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -87049700 rounded to the nearest one hundred thousand?\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 259 + -250. Calculate the remainder when 38\/(6\/t - 0) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(33)\/sqrt(3) + sqrt(11) + 5 + (1 + sqrt(11) - sqrt(11)) + sqrt(11) - (2*sqrt(539) + sqrt(539))*-5).\nAnswer: 12 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336486267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - t**2 + t + 2. Let h(i) = 155*i**3 - 4*i - 8. Determine -h(f) - 4*r(f).\nAnswer: -159*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13178 - -14635. What is the greatest common divisor of j and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 - 16*t - 2. Let j(p) = 6*p - 81. Let h be j(14). Let f(z) = 11*z**2 - 33*z - 5. Determine h*f(k) - 7*r(k).\nAnswer: -2*k**2 + 13*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - -4) + 2 + 15. Solve 4*d + y - 3 = r, -5*r + d = -26 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49524253.\nAnswer: 61, 499, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**5 + 9*u**4 + 438*u**3 + 1566*u**2 - 435*u - 1575 = 0.\nAnswer: -7, -5, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 4*c - 13. Let z be k(-8). Let s = z - -508. Solve -s*f + 9*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.085257s to milliseconds.\nAnswer: 6085.257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 2*o**2 - 2*o - 4. Let m be (-1)\/3 + (-11)\/3. Let v be h(m). Let f = v + 53. What is the greatest common divisor of 10 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-36))\/((-4)\/16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 36 = -4*h + 5*y, 0 = 2*y + 10. Let b(x) = x**2 + x - 3. Let j be b(h). Let q = j - 20. Let o(p) = -3*p - 3. Calculate o(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -5, -19, -3, -4.\nAnswer: -19, -8, -5, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 3, 0, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/1833 in 0.8, -22, -4.2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from apuurauurrpur.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 7*z + 60. Let c be i(12). Solve 2*f - 4*o - 2 = 0, -2*f + o - 4 = -c*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 - ((-2 - 2) + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 659276977\/399 - 11560656\/7. Let o = 801 - y. Is 1 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5 + (sqrt(304)*3 + (2 + sqrt(19))**2*-1)*5*4)*-5.\nAnswer: -800*sqrt(19) + 2326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3808140733 to the nearest integer?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 19. Let z be (-14)\/(-63) - (-914)\/18. Let h = 125 - z. What is the remainder when h is divided by x(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114508 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 (base 13) in base 6?\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 10*l - 8. What is b(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10792 and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3879 - -10958. What are the prime factors of w?\nAnswer: 37, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -833*p + 3090. List the prime factors of a(-79).\nAnswer: 68897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g**3 + 6*g**2 - 9*g + 3. Let v(l) be the second derivative of l**5\/20 + l**4\/12 - l**3\/6 + l**2\/2 + l + 357. Determine -c(s) + 6*v(s).\nAnswer: -2*s**3 + 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**4 - 3*b**2 + 3*b + 4. Let h(w) = w - 1 + w + 3*w**4 - 2*w**2 + 4. Let y(x) = 3*h(x) - 2*k(x). Differentiate y(i) with respect to i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p + 21. Let s be b(-7). Let m = 4 + -3. Let o = s - m. Which is greater: o or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1136\/568)\/(822\/(12\/(-2)))?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -864, -840, -768, -624, -384, -24, 480?\n\"Answer: 4*n**3 - 4*n - 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6705\/894)\/((-18)\/4).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 26 = -4*w, 0*c + 2*w = -4*c - 42. Let l(g) = g**2 - 6*g - 3. Let b be l(13). Let s = c + b. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83594 divided by 387?\nAnswer: 83594\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*s**3 + 19*s**3 + s**2 + 0*s**2 wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -145*a**4\/4 + 160*a - 510. What is the first derivative of x(p) wrt p?\nAnswer: -435*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 1\/150*a**5 + 0 + 1\/15*a**3 + a**2 + 0*a - 1\/30*a**4. Solve i(c) = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181.993365 seconds to days.\nAnswer: 0.0021064046875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -145, -141, -137, -133?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**2 + 143\/6*z**3 + z + 0. Is j(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*p**2*z**3 - 4663052*p*z**3 + 2*z**3 + 6*z**2 - 149*z + 175 wrt p?\nAnswer: 26*p*z**3 - 4663052*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11120321201323 + -1?\nAnswer: 11120321201322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29619 + 29619.9. What is the third smallest value in -3\/4, d, -61?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -30 + 2. Let s = i - -22. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*o**3*t + 22*o**3 + o**2*t + 1005*o**2 - 2*o*t + 14*o - 192083*t - 43 wrt t.\nAnswer: 17*o**3 + o**2 - 2*o - 192083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 860, 1719, 2578?\n\"Answer: 859*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 101*t. Let r(k) = -11*k + 0*k + 6*k + 3*k + 3*k. Calculate g(r(o)).\nAnswer: 101*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + (-25 - -35)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115170 rounded to the nearest 1000?\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1291, -1.4, 37, 2, -2\/11 in decreasing order.\nAnswer: 37, 2, -2\/11, -1.4, -1291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2 - 2*j**2 + 3*j**2 + 4 - 8. Let o(b) = -b**3 + b. Let w(z) = -o(z) + q(z). Let g(u) = u**3 - 2*u**2 + 2*u - 1. Let f be g(1). Calculate w(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udozjiuio. Give prob of picking 1 d and 1 o.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 43, 1, 45, 2\/5, 0.131, 0.\nAnswer: 0, 0.131, 2\/15, 2\/5, 1, 43, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96196.\nAnswer: 2, 24049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66801 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 19*y + 39. Let d be k(12). Let v = d - -65. Calculate the remainder when v is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -41.297\nAnswer: 41.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(468) + 1 + 3)**2.\nAnswer: 56*sqrt(13) + 653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 84771.3.\nAnswer: -847.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 178432 and 2952?\nAnswer: 1605888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1613441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**16\/o**(-1\/9) assuming o is positive.\nAnswer: o**(145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -14. Let q be (6\/f)\/(3\/6). Let h = 5 + q. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**5*y**2 + 16097*w**4*y**3 - 3*w**2 + 74*w*y**3 - 7*y**3 + 6 wrt w.\nAnswer: 120*w**2*y**2 + 386328*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -2*b**6\/15 + 3*b**5\/5 - b**4\/3 - 2*b**3 + 4*b**2 + 6*b - 5. Factor p(i).\nAnswer: -4*(i - 2)*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 3, 4, -4 in descending order.\nAnswer: 4, 3, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 1 + 21. Suppose -9*v + 60 = -3*v. What is the least common multiple of v and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45 - ((-27 - -23) + -7)) + 47\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/(-35))\/(2\/10). Let d be (6\/(-2))\/3 + 1. Suppose d*o - 5*b + 6 = n*o, b = 2*o - 6. Solve 2*s - 4 = o*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*h**2 - 438*h + 438*h)*(3*h - h**2 - 3*h) + (h**2 - 2*h**2 + 2*h**2)*(-h + h + 2*h**2) + 6*h**4 + h**4 - 3*h**4.\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43631 + -43560. Suppose 4*m + 3*q - 26 = 0, 0 = -m + 4*m - 3*q - 9. Let b(v) = 2*v**2 + 3*v + 6. Let j be b(m). Is k > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + a**2 + a + 2. Let m be w(-2). Put -3, 3, 7, m in ascending order.\nAnswer: m, -3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 - 1102?\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396981656.\nAnswer: 2, 3, 7, 2771789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4499 = 24*u - 37091. List the prime factors of u.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 - 16 - 27 - 37 + 81*i - 4.\nAnswer: 81*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*v**5 + 4*v + 1 wrt v.\nAnswer: -760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(210\/12)*98\/(448\/(-32))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t. Let l(p) = -395751*p. Determine l(i(d)).\nAnswer: -1187253*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20b - -48?\nAnswer: -1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1342321 + 1?\nAnswer: 1342322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000101 + -1001111011011011?\nAnswer: -1001111110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2757240)\/(-2849))\/(-180) + (-10)\/(-35).\nAnswer: -56\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 115804704?\nAnswer: -46321881.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 2*o**3\/3 - 5*o**2 - 11*o - 275. Determine r(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2.8. Let k be (-1)\/2*6\/(-21). Which is the second biggest value? (a) t (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 98841, 98833, 98823, 98811?\n\"Answer: -g**2 - 5*g + 98847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -128*z**3 + z**2. Let h be r(-1). Let l = 256738\/1995 - 34\/285. Let x = h - l. What is the nearest to -3\/4 in 0.3, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/7 + 88*p**3 + 622*p**2\/7 - 1236*p\/7 = 0. Calculate p.\nAnswer: -2, 0, 1, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 440 = -480. Which is smaller: -47\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i. Determine w(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1393, -11898, -40415, -95950, -187509?\nAnswer: -324098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1841162417 is divided by 4857?\nAnswer: 4856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 3. Let q be o(4). Let v = 7 - q. Suppose m + 4*g - 27 = 0, 3*m - v*g = 13 - 2. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from viiviaiia. What is prob of sequence ivav?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23554.11 rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 b when four letters picked without replacement from {y: 6, b: 3, s: 4, x: 2, e: 2}.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -698, -6716, -23390, -56048, -110018, -190628?\nAnswer: -303206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x**4 + 19*x**2 - 621*x - 6. Let d(n) = n**4 - n**2 - 1. Let u(s) = 6*d(s) - o(s). Find the second derivative of u(z) wrt z.\nAnswer: -60*z**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = s + 4, 0 = -w - 4*s + 2*s - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 + ((-2 - -10) + -384 + 320 - (2 - -9))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/((d\/(d**(-10)\/d))\/d))))\/d)\/d**(-15\/4) assuming d is positive.\nAnswer: d**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**2 + 60. Suppose -d + 10 = 2*h, -5*d = -0*h - h - 17. Let v(o) = -d*o + 5*o + o. What is v(k(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43843095 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3) + 6 + 78\/(-18). What is the closest to -1 in p, 1\/8, -6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**3\/2 + q**2\/2 + q. Suppose -8*t - 9 = 7. Let i(c) = 16*c + 5. Calculate t*i(s) + 11*u(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 7. Let m = o - 10. Suppose 255 = m*c + c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6769, -13536, -20303, -27070, -33837?\n\"Answer: -6767*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.192 + 0.1?\nAnswer: 0.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2\/13 - 980*u\/13 - 978\/13 = 0?\nAnswer: -489, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17965\/321264 + 21\/368. Find the common denominator of 51\/194 and q.\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*f + 8 + 6. Put -4, -149, f in ascending order.\nAnswer: -149, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five quarters of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4206533 + 115?\nAnswer: -4206415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*p + 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 22*s**2. Suppose 4*h - 33 = 3*g + 5, -2*h + 30 = 4*g. Let u = h - 12. List the prime factors of c(u).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 109 = -24*q. Suppose q*l = -a + 703, l + 10*a - 6*a = 157. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by -9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/26385 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + n + 4*n - 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 - 21*i + 205. Let n be u(7). Let h = n - -44. Solve 2*k + 2*f = -k + 6, 3*f = -h*k + 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 552.7016 kilometers?\nAnswer: 552701.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = -4. Let i(n) = 3*n**2 - 2*n. Let o(a) = 3*a**2 - 3*a. Let p(u) = b*o(u) - 3*i(u). Let y(h) = -h**2. Determine p(y(k)).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1726, -3194, -4662?\n\"Answer: -1468*z - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.066, -2, -4?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 301 (base 9) to base 7\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -5 (b) 0.07 (c) -2\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = j + 5*t - 33, -3*t = 4*j + 1. Is j at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 194565, 388976, 583387, 777798?\n\"Answer: 194411*q + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6)*12\/(-4). Suppose 0 = 3*n + t*n - 4*x + 23, n + 1 = -x. Let l(w) = w - 1. Determine l(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4594361 kilometers in micrometers?\nAnswer: 459436100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -422081.83\nAnswer: 2954572.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*s**3 - 2*s + 70*s**2 - 191*s**3 + 2*s wrt s?\nAnswer: -852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k - 32 = 0. Solve -s = -5*s - k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 5 + -2 + -3 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -4594*x**5\/5 + 2633*x - 648. Find the first derivative of k(p) wrt p.\nAnswer: -18376*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.22 times -2\nAnswer: 2.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71272 is divided by 1097?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 1 - 1 + (-n**2 + 0*n**2 + 0*n**2)*(-4151 - 11504 - 9347 - 1415).\nAnswer: 26416*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:54 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 37515036.9 to the nearest one million.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 4*a = 84, -3*c - 771*a - 111 = -760*a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 2 - 4) + 144. Let i be q\/(-45) + 9\/3. Put -2\/5, -5, i in decreasing order.\nAnswer: i, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3\/4 + 81*g**2\/2 + 270*g = 0. What is g?\nAnswer: -6, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497*f**3 + 145*f**3 + 153*f**3 + 146*f**3.\nAnswer: -53*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.7, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d = 2*o + 38*d, 0 = 2*d - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18517*f**2 - 18521*f**2 + 2*f + 1178 + 37031*f**2.\nAnswer: -7*f**2 + 2*f + 1178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + q + 36 + 1 = 0, 5 = -5*q. Let w = 12 + a. Suppose w*m - 4*m = 24. Let z(g) = g**2 + 5*g. Calculate z(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 124.\nAnswer: 9548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbcb when four letters picked without replacement from bycbcbbbycbbcc?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*r = -2438, 0 = -3*r + 3 + 12. Is v a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*a**2 + 13*a**2 + 18*a**2 + 12*a**2 - 2 - 14*a - a**3 in the form f*a**3 + g*a**2 + r*a + u and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-5)\/4)*1. Suppose 3*b + 2*b = 3*m - 15, q*m = 20. What is the units digit of 2 + b + 0 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a factor of 11911062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2600*x**2 - 5989*x**2 + 2520*x**2 + 2386*x**2.\nAnswer: 1517*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255051, 510076, 765083, 1020066, 1275019, 1529936?\nAnswer: 1784811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 127 + 103. Let w = x - -172. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 18 + 32. Suppose 5*u - q - 30 = 0. What is the least common multiple of u and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrr. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 1. Let f(s) = 680*s**2 + 7*s + 9. Suppose -2*r + 0*q - 10 = -4*q, -5*r - q = -8. Let w(i) = r*f(i) - 2*c(i). Is w(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*o + 5*g = -472*o - 24, -3 = 39*o - 34*o + 2*g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 2. Let q = -20 + 30. Calculate the remainder when 3*10 - (l - -5) is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3525, 14099, 31721, 56391, 88109, 126875?\n\"Answer: 3524*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.23 (c) 62 (d) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(-i**2 + i**2 - 2*i**4) + 161 - 32 + 26 + 2*i**4.\nAnswer: 6*i**4 + 155","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 - -143?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 * -103\nAnswer: -14.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**4 - 75*c**3 - 4370*c**2 - 37920*c - 59040 = 0.\nAnswer: -12, -2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/(t**7\/t))\/(t**2)**(-13\/8) assuming t is positive.\nAnswer: t**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6321 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13 + 7 = 0. Suppose 0 = -2*q + r*q + 6. Sort -3, q, 5.\nAnswer: -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 526944*r**3 + 1188013*r**2?\nAnswer: 3161664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -326\/9 - -80\/9. Let l = i - -28. Let z be 2\/(-3) - 10\/(-42). What is the second smallest value in -0.2, l, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*q - 28 = 0, 2*q + 2 = 6. Suppose 7*b - 5*b - g = 0. Let u(c) = -2*c + 1. Let d(n) = 4 + 8*n - 27*n + 9*n. Determine b*d(t) - 14*u(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 163759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -4 - 5 - (4 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 530, 1179, 2088, 3257, 4686, 6375?\nAnswer: 8324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*p + 290*p - 3 = 3*v, -5*p = -5*v - 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102966\/35 + -2943. Let t = k + 5\/7. Which is smaller: 0.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 10. Let c be n(6). Suppose 3*r + 6*d - 12 = c*d, -5*r - 2*d + 20 = 0. Is 11 a factor of 174\/8 + 1\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 907530385 to the power of 1\/2, to the nearest integer?\nAnswer: 30125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254774 is divided by 471?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.3 + -0.7. Let x be (-2)\/4*12\/15. Put x, -5, c in ascending order.\nAnswer: -5, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 11*b**2 + 3*b + 35. Let j be m(-12). Let p = -142 - j. Solve -o + 4 = -p*o, 4*i - 2 = -o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**5 + 188*n**4 + 1944*n**3 + 7072*n**2 + 11056*n + 6336 = 0.\nAnswer: -4, -2, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2306726519?\nAnswer: 2306726519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*r**2 + 10205 + 2*r + 73*r**2 + 51*r**2.\nAnswer: -3*r**2 + 2*r + 10205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001918413443 rounded to seven decimal places?\nAnswer: 0.0019184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(3*sqrt(12)) + (sqrt(84)\/(sqrt(60)\/(sqrt(5)*-2)))**2 + 5 + 1 + sqrt(343) + sqrt(7) + -3*sqrt(7) + 2.\nAnswer: 31*sqrt(7)\/6 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 1. Let q(j) = -6*j - 4. Calculate -4*q(b) - 11*u(b).\nAnswer: 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 13) in base 10?\nAnswer: -339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 138*u + 763. Calculate j(-11).\nAnswer: -755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {h: 2, f: 9, j: 2, c: 2, d: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4 + 2 + 7*c**2 + 2*c - 5 + 2. Let r(k) be the third derivative of k**5\/20 + k**4\/24 - k**3\/3 + 2*k**2. Calculate -2*o(p) + 5*r(p).\nAnswer: p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29492373?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a**2 - 12*a**2 - 26195*a**3 + 26033*a**3 - 12*a**2.\nAnswer: -162*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -326*z + 2299. Give q(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/47, 4232?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(972) + 1 + -1 - ((sqrt(96)\/(sqrt(6)\/sqrt(3)))**2 + 3).\nAnswer: -51 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -97\/480*q**6 - 1\/4*q**3 - 14*q**2 + 0*q + 0 + 37\/96*q**4 - 1\/30*q**7 - 13\/120*q**5. Let g(y) = 0. What is y?\nAnswer: -3, -1, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9}. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:11 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(-392)\/28?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 11*p + 12. Let k be d(-12). Let x(j) = j**2 + 3*j - 7. Let b be x(-5). Suppose v + b - 4 = 0. What is the closest to 0.1 in v, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10832 or -2?\nAnswer: 10832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14 (b) -0.2 (c) -0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 424?\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, j: 5, b: 5, q: 1}. Give prob of sequence oj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7)*(-2310)\/(-30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5278621854 to the nearest integer?\nAnswer: 72654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 128 = 96. What is the greatest common factor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5830*d + 109*d**3 + 5830*d.\nAnswer: 109*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 e when three letters picked without replacement from {e: 9, y: 3}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s + 159. Let k(g) = g**2. Calculate k(z(v)).\nAnswer: 64*v**2 + 2544*v + 25281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 788, 1524, 2262, 3002, 3744?\nAnswer: 4488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37463364.\nAnswer: 2, 3, 19, 18257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*m - 101*m = -60*m - 6099 for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 20*t**3 + 3*t - 1. Let o(c) = 59*c**3 + 9*c - 3. Let s(h) = -6*o(h) + 21*r(h). What is the second derivative of s(p) wrt p?\nAnswer: 396*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -240 - -271. Suppose 0*z - 270 = -5*z. Find the second derivative of -z*u**4 - 5*u**4 + l*u**4 - 6*u wrt u.\nAnswer: -336*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48473.2073 + 48467. Let v = q - -6.2. Round v to 4 decimal places.\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 8 + 5)*(-9*d**3 - 14*d**3 + 10*d**3 + (d**2 - d + d)*(-2 + 2 + 2*d) + 0*d**3 + 0*d**3 - d**3) in the form f + u*d**2 + w*d**3 + c*d and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -37. Let j = p + -6. Sort 2, j, 1.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3393?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -z - 1, z + z + 3*v + 5 = 0. What is the first derivative of 29*o**3 - 29*o**3 - o**4 + z wrt o?\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u + 9. Give k(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 845447*k*n + 998*k + 3*n - 691 with respect to n.\nAnswer: 845447*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5533 + -1?\nAnswer: 5532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-15)\/z**(-15)*z*z**(-17)*z**(1\/17) assuming z is positive.\nAnswer: z**(-271\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o**2 - 3*o**2 - 4*o**2 + 0*o**2.\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 10. Let m be 29 - ((-2)\/(-3) - 66\/s). Let d = 33 - m. What is the greatest common factor of 4 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 2*j**2 - 12*j - 10. Let g be f(5). Solve -b + 0 = g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -26*x - 238. Calculate the remainder when f(-23) is divided by 63.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 4*s**2 - 2*s**2)*(548*s**3 - 902*s**3 - 244*s**3).\nAnswer: 1196*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 434 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 720 divide 14179680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35313, 139656, 313557, 557016?\n\"Answer: 34779*d**2 + 6*d + 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3084*v - 2623. List the prime factors of a(5).\nAnswer: 67, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 22 + 12101*x**2 - 2*x**3 + 20.\nAnswer: -2*x**3 + 12101*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -186 + 189. Let o be (2\/4)\/(1\/8). Put u, o, -4 in decreasing order.\nAnswer: o, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056 take away -0.301?\nAnswer: -1055.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*s - 28, -38*s = -5*k - 40*s + 17. Let y(f) = -f**2 - f. Let n(w) = -w - 2. Give k*n(l) - 2*y(l).\nAnswer: 2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7403138 less than 7403138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1096*t - 6*t**2 - 1038*t - 5*t**2 + 0*t**2 - 3 as v + j*t + r*t**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*c = -24, 0 = -2*z + c - 2*c - 42. Let d = -16 - z. Let k(a) = a**3 - 4*a**2 - a - 3. Determine k(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvaubuao. What is prob of sequence vaub?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140090, -212, 0.\nAnswer: -212, 0, 140090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*sqrt(891)*6*-1.\nAnswer: -648*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1715 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*w**2 + 13438*w + 18863.\nAnswer: 6*w + 13438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5*s + 35, 4*s = 2*j - s - 20. Suppose 0 = -3*l + j*c + 29, 0 = -l - 2*l + 4*c + 25. Solve -r = l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6747 and 288613.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.741 + -0.169. Let q = 14.09 - s. Is q equal to -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*d**2 + (32*d + 28*d - 30*d)*(2*d - 3*d + 0*d) - 2*d**2 + 2 - 2 + (1 - 1 + d)*(-d + 0*d + 0*d) - d + d + 11*d**2.\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2*w - 73*f**2 - 4561529*f*w + 45639*f + 9*w wrt w.\nAnswer: 2*f**2 - 4561529*f + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4117, 4457, 4797, 5137, 5477, 5817?\n\"Answer: 340*p + 3777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -14 in ascending order.\nAnswer: -14, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**2 - 24176*n + 73059872 = 0.\nAnswer: 6044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 + 27*t - 39. Let f be c(7). Solve -f*r = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + (2 - -1))\/(-3). Let r(h) = h**3 + h**2 + 188. Let l be r(c). Let v = -75 + l. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-37 + 8) - 10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 + 215. Let o = p - -207. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5208 less than or equal to -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 652 + -345. What is the remainder when j is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -1\/4*f**4 + f**2 + 2*f + 1\/10*f**5 - 1\/2*f**3 - 2. Factor t(g).\nAnswer: (g - 2)**2*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhbhhhmhmbhmm. Give prob of sequence hmhb.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 1 + 0)*-3. Suppose -2*w + 1 = -p. Solve 0 + 1\/2*h**3 + 1\/4*h**w + 0*h + 1\/4*h**4 = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**4\/6 - 2*n**3 + 44*n**2. Give i(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrrrrrrtrrr?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/11)*c\/c**2*c*(c*c**(-6)*c*c)\/c**(-2\/7))\/(c*c**(-4\/5)*c*(c*(c**5*c)\/c)\/c*c**(-1\/17)*(c\/(c**(-5\/4)\/c))\/c) assuming c is positive.\nAnswer: c**(-259801\/26180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4 - 504676*d**3 - 2*d - 30878 wrt d?\nAnswer: 12*d**2 - 3028056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4429*h + 1007*h + 2595*h.\nAnswer: 8031*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 8*f**2 - 16*f + 151. What is g(0)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:52 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**14*(p\/(p**24\/p))\/p*p)**(-18))**(-3\/4) assuming p is positive.\nAnswer: p**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111111 (base 2) to base 11.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35323 is divided by 138?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 157056 from -3.\nAnswer: -157059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {l: 1, f: 3, e: 1, w: 1, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 210*t - 4918. List the prime factors of n(108).\nAnswer: 2, 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyz when three letters picked without replacement from jrjzy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 251664?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 2750364*x**3 - 2750357*x**3 - x**2.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.4 + -6. Let y be (-4)\/(-15)*(-11 + 8)*(-615)\/(-1722). Sort y, 5, q in ascending order.\nAnswer: y, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**2 - 233088*i + 11350589?\nAnswer: -6*i - 233088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -422*m + 2951. Let n be k(7). Put n, 10, -19 in descending order.\nAnswer: 10, n, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1723330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05214179 rounded to four decimal places?\nAnswer: 0.0521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2104, 2096, 2076, 2038, 1976, 1884, 1756, 1586?\n\"Answer: -o**3 - o + 2106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k - 8. Suppose 5*q + k*b = 18, -3*b - 21 = -q - q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155 + -150. Which is the nearest to 1? (a) d (b) -2\/5 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6 + 34*l - 14*l - 8*l - 5*l - 6*l. Calculate the remainder when y(9) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.3, 264 in decreasing order.\nAnswer: 264, 0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 9:08 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4144 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 208992 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Let b(d) = -20*d**2 + 2*d - 1. Calculate b(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21078132 a multiple of 2697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0*d**3 + 1\/30*d**5 + 0 - 2*d**2 + 0*d + 0*d**4. Let n(f) be the second derivative of -f**4\/6 - f. Give i(n(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*h - 5*u + 211, 0 = 3*h - u - 553. Let r = h + -129. Suppose 3*c + r = 3*o - 0*c, -76 = -4*o - 2*c. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 2. Let w be i(0). Sort 6, w, -5, 4 in decreasing order.\nAnswer: 6, 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**4*o + 60*f**2*o**3 + 91*f - 99351*o**3 wrt f.\nAnswer: 4*f**3*o + 120*f*o**3 + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 9*u**2 + 11*u - 13. Calculate d(9).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 155? (a) -0.3 (b) -5 (c) -580 (d) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (-3*sqrt(245))**2)*-4 - (3 + -4 + sqrt(80))**2) + 1.\nAnswer: -20*sqrt(5) + 8740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 1 - 1 - 2*z**2 - 1 + 1 + (4*z - 6*z + 3*z)*(2 + 3*z - 2).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35.89 - 0.89. Let x = 35.918 + 0.082. Let l = x - m. Which is the smallest value? (a) 0.2 (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302307578.\nAnswer: 2, 3, 11, 13, 12973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaa. Give prob of sequence aa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.4239 + 6.42389955127. What is m rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3*s, -2*s + 8 = -0*s. Let m(d) be the first derivative of 2*d - 1\/2*d**2 - 2 - 1\/3*d**3. What is m(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + l**2 + l - 1. Let w be r(1). Suppose -w = -5*c + 3. Let j be c*14*(-1)\/(-2). Calculate the greatest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514898.\nAnswer: 2, 101, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15333384 and 572616?\nAnswer: 138000456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.155 - -3.035. Let k = -15 + z. Let n = k - 1.31. What is n rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -523 times 0.1?\nAnswer: -52.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b - 6162 = -19*b + 6*b - 44*b for b.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249702 is divided by 714.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 856787953 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15794 is divided by 120?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -2*u**3\/3 + 2. Suppose 4*y - k + 5*k = 24, 3*k = 3. Let l(d) = -4*d - 2*d + y*d. Determine w(l(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 430 - 21033402?\nAnswer: -21032422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 3, b: 1, d: 5, l: 3, p: 2}. What is prob of sequence du?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27000261, 27000266, 27000273, 27000282, 27000293, 27000306?\nAnswer: 27000321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, v: 1, h: 7, d: 4, o: 2, l: 2}. What is prob of sequence vo?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100419 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*x + 4. What is the second derivative of 2*n**x + n**4 + 3*n - n - n wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 6 = 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((253\/(-66))\/(-23))\/(-2*(-3)\/9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 - 2. Suppose 2*l + 16*l = 72. Put r, l, 0 in descending order.\nAnswer: l, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -298.8742 - -299. Let j = l - 0.201. Round j to three dps.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 558 = -2*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -21*t. Let g(f) be the third derivative of -f**4\/12 - 5*f**2. Give h(g(n)).\nAnswer: 42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -11. Let p = 6.2 + t. Is 0.1 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96 - -99. Suppose l = h - 569, -5*h + l = c*l - 2866. Suppose 0 = 14*o - 18*o + h. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 3*s**2 - 2*s**2 + (-1 - 5 + 5)*(7*s**2 - 4*s**2 + 3*s**2) to the form v*s**2 + u + g*s and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1509*h**2 - h + 122. Let n(o) = -1510*o**2 + o - 124. Let g(j) = 6*k(j) + 5*n(j). Find the second derivative of g(w) wrt w.\nAnswer: 3008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**6)**(-30)\/(b**(3\/2)*b*b**(1\/8)) assuming b is positive.\nAnswer: b**(-1701\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14747392 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 at least as big as 485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -209 - 15\/2*x**4 + 88\/3*x**3 + 0*x + 0*x**2 + 6\/5*x**5. Find the third derivative of c(z) wrt z.\nAnswer: 144*z - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-3)\/(-9)*3 + -3. Let q(h) = -14*h - 24. Let u be q(l). Solve b - 9 = -o - 3*o, -2*o - 18 = -u*b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*u - 34. Let f = u - 6. Suppose 3*j - 49 = f. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 332*i**3 + 3*i**2 - 23*i**2 + 339*i**3 to p*i**3 + y*i**2 + h + l*i and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b3 - -7?\nAnswer: -1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178043063 is divided by 43.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - -2*sqrt(70))*-6 + (2*-2*sqrt(70) - sqrt(70)))\/((5*sqrt(240))\/(sqrt(6) - sqrt(96)*4)).\nAnswer: 69*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24766*n**2 - 33125*n**2 - 31034*n**2.\nAnswer: -39393*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9236 + -9230. Let o(j) be the first derivative of -j**4\/4 + 5*j**3\/3 + 3*j**2 - 9*j + 1. What is o(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4518.74305 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -1234?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-2 - sqrt(72)) + (sqrt(2) - ((sqrt(8) + sqrt(2))*-2)**2).\nAnswer: -72 - 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -141\nAnswer: -5\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (495\/11)\/9 + -10. Let i = 89 + -84. What is the nearest to -1\/5 in i, 0.08, k, 0.2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 9) in base 11?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5 + 27*f**4 + 22376*f**3 - 225204*f**2 + 721952*f - 722496 = 0. Calculate f.\nAnswer: -142, 2, 4, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Let d = 1 + n. Let h be (-21)\/(-9) + (-4)\/(-6). Put d, h, 0 in decreasing order.\nAnswer: d, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/197 (b) 0.28 (c) 77 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 48, 2, -1 in increasing order.\nAnswer: -1, 1, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 2. Let c(l) = -l + 2. Let y(q) = -3*b(q) + 2*c(q). Let o be y(6). Let w = 0 - 0. Solve o*k = -w*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/16))**(-11\/4) assuming i is positive.\nAnswer: i**(-187\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 24. Let f be v(-10). Solve 5*n - 14 = 2*k, -4*k - f*n + 22 = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 1:20 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22310 divided by -5\nAnswer: 4462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327 = 494*b - 1297 - 223 - 129 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(1520\/(-16)))\/(2\/(-5)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-30)*(-18005007)\/42. Suppose 4*t + n = -400103, 2*t = -2*t - 4*n - 400112. Let m = x + t. What is the common denominator of 81\/10 and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2036118*a + 34*a**2 + 7*a**4 - 1 - 2036118*a)*(-3 + 3 - 2) to the form o*a**4 + l*a**3 + d*a**2 + c + g*a and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 473672849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/66776542 and 81\/615452.\nAnswer: 133553084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 107 = -b, -g - 5*b - 204 = -424 + 213 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117.9 - -118. Which is the nearest to 3? (a) -0.5 (b) f (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 365896 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -267081 by -22.\nAnswer: 267081\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 9309876?\nAnswer: -1\/9309876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 2*m - 3. Let v be s(3). Suppose 3*r + v = 6*r, 4*r - 17 = i. Let j = 1093 - 1098. Which is the nearest to i? (a) j (b) 0.07 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 20.78937203.\nAnswer: -14.78937203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-3) + (-1 - -2). Let b(m) = -7*m - 134. Let w be b(-22). Suppose -5*g + w = -0. Solve -k*o + g = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - -3*(sqrt(110) - 4*sqrt(110))) + sqrt(110))\/(2*sqrt(250)).\nAnswer: -7*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*f - 147 - 972 - 645 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*q + b + 3, 4*b = q + 18. Suppose 5*x - 3155 = -5*n, q*x + 2*n = -2*x + 2524. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65194305 - 44244305. What is z rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -434?\nAnswer: -42b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(-2*sqrt(72)).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**8\/168 - 2*r**5\/15 - r**4\/12 + 11*r**3\/2 - 116*r**2. What is the second derivative of m(j) wrt j?\nAnswer: -40*j**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27040.5 millilitres to litres.\nAnswer: 27.0405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-two fifths of a microsecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*y**3 - 190*y**3 + 370*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 376, 325, 192, -65, -488, -1119, -2000, -3173?\nAnswer: -4680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 14*m**2 - 3*m - 3. Let r(i) = 516*i**2 - 115*i - 115. Let c(n) = 257*n**2 - 57*n - 57. Let v(h) = 5*c(h) - 2*r(h). Calculate -55*u(l) + 3*v(l).\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**2. Let j(g) = -2798*g. Give h(j(r)).\nAnswer: 54801628*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n - 651. Let w = -214 - -216. Suppose o = 2*k + 31, -o - 2*o - w*k + 93 = 0. What is the highest common divisor of o and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -36*t. Let z(a) = -5*a**2 + 121775*a - 121775*a. Calculate z(m(q)).\nAnswer: -6480*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (0 - (1 - 1 - 4))) + 374 + -363.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135246548.\nAnswer: 2, 619, 54623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 398*u**4 + 3*u**3 - 109*u**2 + 13901117*u wrt u.\nAnswer: 4776*u**2 + 18*u - 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1712504139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-5)*(1 + 2). Sort -1, c, -4.\nAnswer: -4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 3:45 PM?\nAnswer: 638","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: (-28)\/6*17\/(-34)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 67321.75 and -0.2.\nAnswer: 67321.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.338273ms to microseconds.\nAnswer: 8338.273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -187*a - 1687. Calculate t(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3144 + 3148. Solve 10 - s = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2076*m**2 - 5285552*m - 142576.\nAnswer: -4*(m + 2546)*(519*m + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -178898.70128 - -178934. Let d = 35.3 - i. What is d rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4317575 meters to millimeters.\nAnswer: 431.7575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -18*i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + (sqrt(700) + 1 + sqrt(700))*-1 + -2*sqrt(700)*-2.\nAnswer: -1 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-2*1 - sqrt(432) - -3*1*sqrt(432))\/(4*5*(1*sqrt(486) + sqrt(486))) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 2044?\nAnswer: -2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4961000 rounded to the nearest 100000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060055805 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000075576 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 3*w + 3, x - 4*w = -2*x + 17. Suppose -2*l + 1 = -x. Solve -p - l*p = 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 14. Let d = v - 1. Let p = -0.2 - -0.4. Which is smaller: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-3 - (1 + 21)). Suppose -4*d + t = -29. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*k + 3277 = 124, 3*j + 4*k = 9497. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42887, -43056, -43259, -43496, -43767, -44072?\nAnswer: -44411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q. Suppose t + 1 = 2. Suppose -2*u + t = -7. Let y(g) = u*g - 5*g - 3*g**2 + g. Give y(k(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25\/(-10)*3\/(-5). Let j = -10 - -14. Let f = 0 + j. Which is the third biggest value? (a) f (b) 5\/2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 238.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 f when three letters picked without replacement from xffxffffffffxfffff?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5835*q + 5824*q - 17952*q + 6295*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46444.\nAnswer: 2, 17, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 271.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 0*r**3 - 5*r - 5\/56*r**8 + 13 + 25\/4*r**4 + 0*r**2 + 0*r**5 + 2\/7*r**7 + 0*r**6. Find the third derivative of l(n) wrt n.\nAnswer: -600*n**3 + 720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/3 - 746804*a**3\/3 + 139429800406*a**2\/3 - 92952453468*a + 46476102267.\nAnswer: (a - 373401)**2*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450*j - 392*j + 1093*j + 705*j.\nAnswer: 1856*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -560*o + 232*o - 330*o - 331*o - 48 wrt o.\nAnswer: -989","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12135.63 meters to kilometers.\nAnswer: 12.13563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -683600 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Suppose -2*c - 4*k = -26, f*c - 21 - 15 = -5*k. Suppose 16 = -b - c. What is the common denominator of b and 51\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*n**2 + 109 - 109 + 4*n**2 + 5*n**2 - 3*n**2 + (3 - 5 + 1)*(0 + 0 - 2*n**2) to the form i*n**2 + f*n + w and give i.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 494.906133 + -494.9. What is p rounded to four decimal places?\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 6:13 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 2*j + 1. Let u be x(5). Let t = 65 + -43. Let d = u + t. What is the least common multiple of d and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -22*w**6\/15 + 9*w**5\/5 + 13*w**4\/3 - 6*w**3 - 4*w**2 - 13*w. Solve k(h) = 0.\nAnswer: -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*a - 5. Suppose -v + 9 = -4*v. Let q = 231 - 231. Put v, q, a in descending order.\nAnswer: a, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31599, -63198, -94797, -126396, -157995, -189594?\nAnswer: -221193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -45, -3, 70 in decreasing order.\nAnswer: 70, -1, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -s + 100, -5*s = -5*c + 5 + 260. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + (-315)\/27)*-15 - 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -bb (base 16) to base 13\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/6*(-87)\/(-116))\/(-1). Let i(q) = q**3 - q - 2. Let u(o) = 2*o**3 - 3*o - 3. Calculate b*u(s) + 5*i(s).\nAnswer: s**3 + s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2720*z**2 + 13586*z**2 - 2719*z**2 - 2713*z**2 - 2718*z**2 - 2721*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**8\/320 + o**7\/168 - o**6\/360 + o**3\/6 - 7*o. Let x(t) be the second derivative of r(t). Let x(v) = 0. Calculate v.\nAnswer: 0, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 13*m + 0*m - 1 + 0*m. Let h be w(2). Find the second derivative of 30*k**5 - 21*k**5 + 35*k - 2*k + h*k**5 wrt k.\nAnswer: 680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {a: 1, s: 2, l: 5, k: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 12:54 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -205, -586, -1623, -3646, -6985?\n\"Answer: -55*u**3 + 2*u**2 - 2*u - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-70)*(-2723)\/(-2334).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -19, 4, -53 in ascending order.\nAnswer: -53, -19, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(sqrt(1700) - (sqrt(1700) + 1))*4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 3950 + 38 = 0. Let s = 234 - l. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 - 2*p + 11. Let h(y) = -y**3 - 13*y**2 + 14*y - 6. Let i be h(-14). What is the tens digit of m(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -172*g**3 - 176*g**2 + 340*g + 8 = 0.\nAnswer: -2, -1\/43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*8\/4*(-10)\/(-375)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33743632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/5130 and -43\/9020?\nAnswer: 4627260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**6\/10 - 16*n**4\/3 + 906*n**2 + 9*n - 235. Differentiate p(k) wrt k.\nAnswer: 12*k**3 - 128*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -178.9999874 + 179. What is b rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3331866*b - 3332102*b = 8968 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -2297.963074?\nAnswer: -2255.963074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-32)\/(-168))\/(-2))\/(5\/(-175))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k = 16. Suppose -p + k + 10 = 0. Suppose -5*q = -9 - p. Solve i = -2*d + 9, -5*i + 28 = 2*d + q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4082284, 16329154, 36740612, 65316664, 102057316, 146962574, 200032444?\nAnswer: 261266932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -14*o + 9*o - y, -y - 3 = 0. Let v = -28499539\/259 + 110037. Let p = v - 1\/37. Which is the smallest value? (a) o (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607*v - 160 = 587*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**3 + 18*r**3 - 78*r - 44*r**3 + 15*r**3 + 78*r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121102 (base 3) to base 16.\nAnswer: 76d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5123735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l. Let a(w) = w**3 - w**2 - 3*w + 3. Let b(u) = u**3 - 9*u**2 + 8*u + 3. Let t be b(8). Suppose -t*d = 1 - 7. Let m be a(d). Give g(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78\/2*(-24)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3368*r**4 - 1379*r**2 - 2931866 wrt r.\nAnswer: 13472*r**3 - 2758*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 272.0186 and 17?\nAnswer: 4624.3162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*h + 2*b, -5*b + 51 - 9 = -4*h. Suppose -6*q + 5*q + 6 = 2*p, 0 = -5*q - 3*p + 16. Is h\/4*(-191)\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - c + 1. Let w(v) = 232*v**2 + 237*v**2 - 3 - 465*v**2 + 3*v. What is -6*p(f) - 2*w(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 3\/5*y**2 - 7\/15*y**6 + 28\/15*y**3 + 2\/5*y**4 - 4\/5*y + 3 - 24\/25*y**5. Determine n so that r(n) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-29)\/(1218\/(-12)) + -3 + (-57)\/(-21). Solve l = -4*i - 4*d - 4, -5*i + 6*i - d = 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 36*i - 140. Let d be j(4). Let u(w) = w**3 - 3*w**2 + 4*w. Give u(d).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 196 = 170. Find the common denominator of 73\/40 and s*(-1)\/300*9.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*90\/(-35))\/((-252)\/(-1176)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 182*k**2 + 2. Let s(w) = 4*w**2 + 4055 - 8269 + 4214. What is s(m(q))?\nAnswer: 132496*q**4 + 2912*q**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -621*p + 1282*p - 662*p. Let m(a) = -a. Give m(z(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyz. What is prob of picking 1 z and 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1642029 is divided by 55.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -1.995. Let s = 0.375 + h. Round s to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-66)\/(-24)))\/7\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a. Let g(s) be the first derivative of s**2\/2 + 21*s - 66. Determine r(g(i)).\nAnswer: -3*i - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -249*j**3*v**3 - 16*j**2*v - 2*j - 3*v**3 wrt j?\nAnswer: -1494*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a85a7 + 3?\nAnswer: -1a85a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 158.5949 millimeters?\nAnswer: 158594.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200 - 100131?\nAnswer: -100331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(684) - (sqrt(684) + (-3*(sqrt(684) + -1) - sqrt(684)))) + sqrt(684)*1 + sqrt(684) + 1))**2.\nAnswer: -576*sqrt(19) + 98512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242 + 576*k**2 - 242.\nAnswer: 576*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/11103 and -76\/258309?\nAnswer: 956001609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -370.\nAnswer: 1\/370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggggggxg. What is prob of picking 2 g?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 223325?\nAnswer: 3\/223325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3067*x - 1521*x - 1547*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840\/(-6660) - (-15)\/(945\/14)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*m - 12*m - 125 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w**(1\/3))\/w*w)\/w**4)\/((w**(-2\/7)*w)\/w*w**(-2\/7))*(w\/(w*w**(-4)*w)*w**(-6))**(-11\/4) assuming w is positive.\nAnswer: w**(601\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7028 - 6305. What is the remainder when g is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269454 is divided by 1833.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(10*7\/(-28)). Solve 0 = -2*i + 2*v + 2, -25 = 2*i + 3*v - f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 536.43517 to the nearest integer.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhyh when four letters picked without replacement from {y: 3, u: 4, v: 1, m: 2, l: 1, h: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/456 and -53\/68087982.\nAnswer: 272351928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 7*j**2 + j - 4. Let v = 77 + -81. Let a(q) = q**3 - 8*q**2 - 4. Suppose -r - 3 = -8. Let m(y) = r*s(y) + v*a(y). Calculate m(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:58 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, 7, 126?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/90*5*2. Let c = -179 + 178.9. Suppose 0 = -h + 4 + 1. What is the second biggest value in t, c, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3 + 387*b**2 - 36051*b - 271663 = 0.\nAnswer: -7, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 87896.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*((sqrt(125) + 2*sqrt(125))*-3 - (2*sqrt(125) + -3)))**2.\nAnswer: -3960*sqrt(5) + 242081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005664908 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**18\/(d**(2\/7)\/d) assuming d is positive.\nAnswer: d**(131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**4 + w**4 + 5*w**4)*(-1 + 1 - 1).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 7*q + 32. Let p = 113 + -121. Let i be r(p). What are the prime factors of ((-27)\/(-36))\/((-1)\/i)*-2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 35*t**2 - 5*t - 35.\nAnswer: 5*(t - 1)*(t + 1)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/361 - 16935\/5776. Are x and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 4 - 571578*t**2 + 571578*t**2. Let f(q) = -3*q**3 + 9. Give 4*f(g) - 9*h(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6588 divided by 122\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574911 (base 11) in base 4?\nAnswer: 22033230200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2981, 5, -1\/3 in decreasing order.\nAnswer: 2981, 5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*25\/10*4\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:45 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4013*u + 2005*u + 2006*u + 9 - 9.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 491 by -39279.\nAnswer: -491\/39279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f*p**4*v**2 - 337*f*p**3*v**2 - f*v + 2*f - 3*p**2*v - 4*p**2 + 2*v**2 wrt p?\nAnswer: -120*f*p*v**2 - 2022*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1816\/9 - -202. Which is the nearest to -1\/4? (a) 4 (b) j (c) 5.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 28 = -0*t + a, 0 = -2*a. Let j = t + -14. Solve 4*u + u - 10 = j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 9*q**2 + 10*q + 8. Let g be w(8). Calculate the common denominator of (-158)\/(-6)*9\/30 and (-2)\/(-4) + (-298)\/g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1846 and 6461?\nAnswer: 12922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/(-6) - (55\/3)\/(18\/(-9531)).\nAnswer: 2, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) -0.4 (c) -5 (d) -128 (e) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 6*h - 10. Let x be n(-5). Is 12\/(-2) - -3156 - x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32121 + 17751. Is o\/(-4) - (-20)\/40 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Is 2\/61 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*m - 38. Let h be (3 + 34\/(-4) + m)*-2. Suppose -11*v - 9 - h = 0. Round v to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -48 + 13 - 23.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(60)*-1*-6)\/(6*sqrt(1728)*1).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574*f - 3*x = -571*f + 3, 23*x = -5*f - 23 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -29 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/2, 5, 1, -41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:34 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 17214298.7 to the nearest one thousand.\nAnswer: 17214000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 14 - 26. Suppose n*j = -6 + 50. Solve -j = -5*p - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57968.\nAnswer: 2, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**8)\/c*c*c)\/(c*c\/c**(-2\/3)*c)*c**(2\/9)*c**(3\/7))\/((c**(-1))**(-8\/11)\/(c**(1\/6)\/c*c**0)) assuming c is positive.\nAnswer: c**(7517\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -190*0.04\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = -d, 5 = -2*d + 4*l - 3. Suppose -12 = 11*s - 14*s. Suppose -s = -d*n, -5*h + n + 61 = -33. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -40*l + 24. Let z(h) = 16*h - 10. Let r(b) = 5*n(b) + 12*z(b). Let o(y) = -2*y**2. Determine r(o(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 6*g - 2. Suppose 0*k - 10 = -2*k. Let y be t(k). Suppose 0 = y*h - 25 + 1. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*g - 1, -5*g - 4*f + f - 3 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f**3 - 4*f**2 + 5*f - 11. Let w be c(5). Let n = w - 243. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 22 + 6. Let i = o + 8. Solve 0 = -3*l + 4*l + i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*o + 50 = 2*d + 75*o, -9 - 1 = o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1.449, 22\/7, 0.7, -3\/4 in increasing order.\nAnswer: -1.449, -1, -3\/4, 0.7, 22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(2\/3)*t)*t*t*(t\/t**(5\/7)*t*t)\/t*t**1\/(t*t*t**6))\/((t\/t**(-1\/3))**46\/(t\/t**(-1\/2))**(-2\/113)) assuming t is positive.\nAnswer: t**(-52001\/791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31280000 rounded to the nearest one hundred thousand?\nAnswer: -31300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/162 + 2)*(-96)\/(-640).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = 141*o - 146*o. Let j = 154 + o. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*w**5 + 71*w**3 + 14*w**2 - 9*w wrt w?\nAnswer: -540*w**2 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -118*r + 123*r - 12, 12 = -3*d + 4*r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((75\/20)\/15)\/(9*(-35)\/(-168))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8154 = -4*v + 3218. Is -1236 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 7, a: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/3, -0.3, -14, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((-6*(sqrt(68) + -1*sqrt(68)) - sqrt(68)) + 3*sqrt(68)*1))\/((-1*sqrt(36)*4)\/(sqrt(108)\/(sqrt(24)\/sqrt(2)))) + 5)**2.\nAnswer: -30*sqrt(17) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -57328 smaller than -57328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncobohohybhchno. What is prob of sequence ob?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4\/21 + 19482*c**3\/7 - 719966*c**2\/7 + 3910714*c\/21 + 291860 = 0.\nAnswer: -1, 3, 35, 29186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 98 - 590. List the prime factors of l.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/11))**(-10\/11)\/(d*d*(d\/(d\/d**(-8)))\/d*d*d*d*d**(10\/11)*d))**48 assuming d is positive.\nAnswer: d**(11184\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42127218.\nAnswer: 2, 3, 7, 19, 17597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1623*l + 21. Let y(n) = -77*n + 1. Let k(u) = -4*s(u) + 84*y(u). Let g(v) = 11*v**2. Determine k(g(i)).\nAnswer: 264*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.7 - 4. Let l = 0.0696 - -2.4304. Let p = r - l. What is the second biggest value in 5, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -13*y + 143. Let g be l(11). Let t be 0 + (17 - (0 - -1)). Let h be (30\/t + -2)\/1. Is h smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + o + 85 = 0. Let x = o + 15. Is x <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2926 and 266?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z - 84780 = -54*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9) - sqrt(1089)*1).\nAnswer: -sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y - 2. Suppose 12 = 6*i - i - h, 3*i = -4*h - 2. What is the units digit of 3 - (2 - (i - y))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16620 + 101*b**4 + 6*b**2 - 31*b**4 - 2*b + 16622 in the form v*b**4 + n + s*b**2 + g*b + f*b**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + o**2 + 3*o. Determine y(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d**3 - 3*d**2 - 2*d - 2. Let k(p) = 18*p**3 + 5*p**2 + 4*p + 3. Determine 5*g(o) + 3*k(o).\nAnswer: 9*o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57332548 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -3 + sqrt(2)*1 + 0.\nAnswer: -3 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191805 is divided by 95813.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9955.6906 rounded to 0 dps?\nAnswer: 9956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2755822, 3, -3.\nAnswer: -2755822, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -27841 smaller than -27843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 - 48. Let l = g - 33. Calculate the remainder when 21 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85 - 102 - (-2 + 0)) + 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 113764 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3\/5 + 2*q**2\/5 - 2*q\/5 - 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -126.81 times -2.38\nAnswer: 301.8078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m. Let f(h) be the first derivative of -h**5\/30 - 2*h**2 - 6. Let k(j) be the second derivative of f(j). What is d(k(o))?\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 738\/455 or 3?\nAnswer: 738\/455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*h**2*r**3 + 2*h**2 + 2*h*r**2 - 2*h*r - 2*h - 544*r**3 + r**2 + 421*r + 13 wrt r.\nAnswer: 570*h**2*r + 4*h - 3264*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**2 - 89*k - 26. Let h be v(13). Suppose -5*y + n + 8085 = h, 0 = -y - 5*n + 871 + 772. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.788232435 - 47682?\nAnswer: -47683.788232435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 at most -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {a: 2, y: 5, b: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29507 + 44067. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, -1295 in descending order.\nAnswer: 4, -10, -1295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 281, 50, -181, -412?\n\"Answer: -231*x + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*h = -25, -3102 = u - h - 3103 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-69)*26\/65.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 3*s + 1. Let j(p) = 2*p**2 + 6*p - 3. Let f(b) = -7*i(b) - 3*j(b). Let r be f(-2). Solve -2*y + 2*n - 14 = r, 29 = -5*y + 2*n - 0*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 1795*d**2 + 19720*d - 381700.\nAnswer: 5*(d - 10)*(d + 22)*(d + 347)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {q: 2, l: 7}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, t: 4, u: 1, s: 4, d: 1}. Give prob of picking 1 d and 1 t.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 2*k**3 + 207*k - 417*k + 210*k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20769485?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156756?\nAnswer: 2, 3, 13063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -151 + 402. Suppose r = 3*o + 86. Suppose 0 = -5*y - 3*l + 78, 4*y - 5*l = -0*l + o. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6755, -5 in descending order.\nAnswer: 6755, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + u**2 + u - 1. Let s(r) = -7*r**3 - r**2 - 2*r + 2. Determine -s(o) - 2*z(o).\nAnswer: 5*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 866 - 866. Let g(d) be the third derivative of -1\/30*d**7 + 0 + 0*d**6 + 8*d**2 + d**3 + 0*d + 0*d**4 + v*d**5. Differentiate g(j) wrt j.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*q - 17, 7*x - 31 = 2*x + 4*q. Suppose x*w = w + 60. Let b = w - 27. What is the least common multiple of b and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 378732396 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21761 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6305 = 9*b - 6125 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.02 - 17. Which is the smallest value? (a) o (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 974400 and 3500?\nAnswer: 4872000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 36 = -0*d - 2*d, 0 = 3*d + 2*s - 54. Calculate the smallest common multiple of d and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*q + 12*q - 77 - 87*q + 8*q + 7*q as y*q + o and give o.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 88*i**2 + i - 2. Let c be j(2). Let a be (-52)\/(-14) - 28\/(-98). Let b be a\/(-10) + c\/80. Solve s - 20 = 4*u, -s - b*u - u - 25 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4386 and 3060.\nAnswer: 131580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34908 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 122*i + 1019. Let r be l(9). Let f = -0.02 - 0.48. Which is the closest to f? (a) -2 (b) 3 (c) r (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00036125 rounded to 6 dps?\nAnswer: 0.000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)\/n**(2\/9))**(-2\/21)\/((n**(-1\/2)\/n)**31\/(n*((n*n**(-2\/7))\/n)\/n*n)**(25\/4)) assuming n is positive.\nAnswer: n**(38557\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.2 (c) 5.116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(108) + 2)**2*-5 - (4*sqrt(108)*2)**2) + -2 + (sqrt(300) + (sqrt(300) - sqrt(300)*-3))**2 + sqrt(300) + 1).\nAnswer: -108 + 440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h**2 - h - 35. What is the hundreds digit of f(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -t - 15, 164*s + 22*t - 84 = 162*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 15*m**2 + 14*m. Let n(t) = -t**3 + t. Let k(r) = g(r) - 4*n(r). Factor k(j).\nAnswer: 5*j*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/15, -2\/11, 0.048, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(1\/1*-5 - 0). Let f(m) be the second derivative of 0*m**2 - 1\/6*m**3 + n + 8*m. Let d(o) = -4*o**2. What is f(d(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/(-12) + 5)\/((-70)\/40).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20010001012202 + 21?\nAnswer: 20010001020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 27.9. Let z be (-1)\/(-1) - (3 + 0). Let u = -3 - z. Which is the second biggest value? (a) 0 (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*1 + -1)**2*4.\nAnswer: -72*sqrt(13) + 4216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -19*s. Let j(d) = -5*d - 2. Let z(m) = 41*m + 17. Let f(n) = -51*j(n) - 6*z(n). Let a(l) = -7*f(l) - 3*r(l). Let p(q) = -5*q**2. Give p(a(k)).\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from vvgdgdngdvvv?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (336\/(-10))\/(-6)*1840\/(-736).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (1 + -20 - (-16 + 17)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 13. Suppose -t = -n*l + 8, 3*t - l = 2*t - 6. Let o be (-1)\/t + 839\/4. Calculate the highest common factor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160158?\nAnswer: 2, 3, 26693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 y when three letters picked without replacement from eytyzetnte?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1286*w**3 + 16*w - 16*w.\nAnswer: 1286*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 21678*c**3 - 21676*c**3 - 2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 459662463 * 0.3.\nAnswer: 137898738.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3815 = 3*j - 4*t, 0*j + 13*t = 3*j - 3752. What is the highest common divisor of 777 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -22.4. Let y = 0.57 - 0.07. Put f, -0.4, y in ascending order.\nAnswer: f, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -23*d**2 + 680856*d - 1361716. Give k(2).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0*v**3 - v**3 - v**2 + 202961*v + 2*v**3.\nAnswer: v**3 - v**2 + 202961*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1 = i - q, -4*i + 2*q = -14. Let o be 3 + (i - 1) + -3. Solve 10 = -z + o*f, -3*z - 3*f - f = 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6247980 by -18540.\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494832438.\nAnswer: 2, 3, 27490691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-3))\/(((-111)\/(-6))\/37)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -q + 13. Let d = 109\/3 - q. Which is the closest to -2? (a) -5 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 52569*q**3 - 3 + 52610*q**3 - 105259*q**3.\nAnswer: -80*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -85, -111, -115, -91, -33, 65?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31777 is divided by 556?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/10*4*465\/(-248)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-19))\/x**12)**(-17) assuming x is positive.\nAnswer: x**510","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 10:18 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 146818896 minus 39011?\nAnswer: 146779885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 38130 divided by -5\nAnswer: -7626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1625 - 1409. What is the greatest common divisor of l and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -69*3\/(-18)*2. Suppose -c - u = -s, u + 3 + 18 = c. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2. Let d(p) = -5 - 2 - 8 + 15 + 20*p. Give o(d(z)).\nAnswer: 400*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-18) + (-6)\/27. Let l be (1 - (-6 - r)) + -2. Solve 0*o + o = -l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 7:58 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcpc when four letters picked without replacement from pcpcppcppcppi.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-75)\/(-125)*(1056 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-511)\/42 - 2\/6 and 43\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*o - 3, 2*o + 0 = 4*s - 10. Suppose s = f + 1. Which is bigger: 2\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -c + 8, 0 = -2*i + 5*i - 5*c. Let b(o) = -6*o**2 + 5*o + 9. Let d(z) = 9*z**2 - 8*z - 14. What is i*d(h) + 8*b(h)?\nAnswer: -3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6816865 and 715?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3997628891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 17. Let f be b(5). Let c be f\/(-4)*(-781)\/3. Is 1 + 7 + -4 - c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -602*-10.77\nAnswer: 6483.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/1218 + 2507\/86478. Which is greater: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.163813 - -0.14176. Round r to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720153273 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 42 + -8 + -2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 11*g**3 + 7*g**2 + 2*g - 7. Let k(x) = 3*x**2 + x - 3 - 1 + 1 + 5*x**3. Let f = 40344 - 40337. What is f*k(d) - 3*b(d)?\nAnswer: 2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*(sqrt(700) + (-1 + sqrt(700) - sqrt(700))))**2 - (sqrt(700) - (sqrt(700)*-1 + 5 + sqrt(700)))).\nAnswer: -90*sqrt(7) + 2118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.159738584 rounded to five decimal places?\nAnswer: -0.15974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/4)*r*r)\/(r**(-3)\/r)*r**(1\/10)\/(r\/(r**(2\/7)*r)) assuming r is positive.\nAnswer: r**(1069\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 118743*w - 593750. Determine p(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948871?\nAnswer: 7, 11, 12323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2300687 - -1.23. What is l rounded to six dps?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, -1\/7, 0, -9380\/3 in increasing order.\nAnswer: -9380\/3, -120, -1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2765088 by -460848.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 >= 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39916481 - -0.1.\nAnswer: 39916481.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -4\/3, 4126, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*t + 7*t + 0*t)*(0 + 0 + 5) - 4*t + 4*t - t)*(-14*t**3 - 25*t**3 + 8*t**3) to the form m*t + j*t**3 + o*t**2 + w + g*t**4 and give g.\nAnswer: -1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 2, -v + 99417*r - 99412*r = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 4:26 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4177920 divided by -12?\nAnswer: 348160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1225.6 + 1104. Let c = 110 + p. Let a = -8 - c. What is a rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*sqrt(1372)*-2 - -6*4*(sqrt(7) + (sqrt(175) - (sqrt(175) + 1)) + sqrt(7))))**2.\nAnswer: 62208*sqrt(7) + 347328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 2, m: 8, d: 5}. Give prob of picking 2 r and 1 m.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 2*m = 2*s + 46, -s = -3*m + 6. What is the highest common divisor of s and 657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 25\/4*z**4 + 10*z + 15*z**3 + 16 + 35\/2*z**2 + z**5. Factor x(t).\nAnswer: 5*(t + 1)**3*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 8\/17 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/223325 and -51\/17105.\nAnswer: 763994825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 329958 (base 13) in base 6?\nAnswer: 41320120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26331 (base 12) in base 10?\nAnswer: 52309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 470091970 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 244 + -244. Which is greater: t or -6\/97?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v + 2*v)*(0 + v**2 + 0*v**2 - 1)*(-15*v + 5*v - 6*v).\nAnswer: -32*v**4 + 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 25 - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 507 and 15?\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -835*a**2 - 203735*a + 207. What is d(-244)?\nAnswer: -1013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/14)\/(((-80)\/(-35))\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*t)*(45*t + 19*t - 264*t) + 3*t**2 - t**2 - t**2.\nAnswer: -399*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1892*f - 2472*f - 942*f to h*f + l and give h.\nAnswer: -5306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**15*j*j\/(j**(-3\/8)*j) assuming j is positive.\nAnswer: j**(131\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7113*d**2*j**3*l*u - 3162*d**2*j**2*u - 3*d**2*j**2 + j**3*l*u - 10*j**3*u + 4*j**2*l*u wrt j.\nAnswer: -42678*d**2*l*u + 6*l*u - 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/7, -1\/5, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -5*d - 2, -d = -115*z + 117*z - 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12 = z, -3*t + 0*z = -z - 12. Suppose -9 = -t*i - 0. Let m(l) = -5*l**2 - l**3 + 3*l**2 - i - l - 3*l**2. Give m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**3\/3 + 5*m**2 - 13*m - 1. Let q be j(-11). Let o(y) = 4 + 2*y - 2 + 2*y + 3*y**2. Give o(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:05 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 5:54 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezze when four letters picked without replacement from {a: 4, b: 1, z: 11, x: 1, e: 2}.\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (51 - (-3 + 3)). Let k = g + -28. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, -709, -1512, -2315?\nAnswer: -3118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/7548609 + 314044780249\/83034699. Let c = -3779 + b. Calculate the common denominator of -31\/10 and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 3\/8 (b) 0.02 (c) 0.1 (d) 46242\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7300 (base 8) to base 5.\nAnswer: -110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -551 + 269 + 1963*r + 282 in the form q*r + f and give q.\nAnswer: 1963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (14 - 6)) + (-65 - 20) + (-2 - -15)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j = -9272 - 13262. Let f be ((-804)\/(-10))\/((-2)\/10). Let t = f + j. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from mxxmxxmmxmmxmmxmxxm?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-4 + 8)\/((-12)\/(-57)). What are the prime factors of 10\/95 - (-1062)\/y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 + -48. What is the lowest common multiple of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-198) - -4*5\/(-90).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*(3 + sqrt(320) + 0 + sqrt(10)\/sqrt(2) + -4))**2.\nAnswer: -450*sqrt(5) + 10148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-169)\/(-429)))\/(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9491 in 192\/11, 26, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5779 divided by -1203?\nAnswer: 5779\/1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 473, 472, 471, 470?\n\"Answer: -t + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2 - 87 = 0. Let c be (180\/(-42) - (-4)\/14) + 18. Suppose -30 = -q*h + c*h. What is the lowest common multiple of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-344846692161\nAnswer: -344846692161.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/103)\/(m*m**(-5)*m))**(2\/129))**3 assuming m is positive.\nAnswer: m**(622\/4429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*w - 1)*(3*w - 9*w - 1 + 0)*(2 + 2 - 5).\nAnswer: 12*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7990 and 6526980?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n + 74*n = 18*n + 3840 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 332347240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 25.128\nAnswer: -5.0256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 709 and -1?\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - d = -99, 2*c + 2*d - 155 = -49. Suppose r + 72 = 3*f, -6*f = -3*f + 2*r - 72. Let b = c - f. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -1\/3 (b) 0.5 (c) 10 (d) -0.03 (e) 934\/5 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.1646 - -82.9934. Let d = q + -88. Let c = -0.18 + d. Round c to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420.556 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -13, -41, -81, -133, -197, -273?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -5. Suppose 0 = 2*q - 4*a + 18, 15 = -4*q + 4*a - 5. Let p be q - (17\/(-5) + (-8)\/(-20)). Solve m = -p*y - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 4*f**2 + 5*f + 5. Suppose 2*c + 8 = -2*j, -c + 3*c - j = -11. Let v be x(c). Solve -5*y - v = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 360 = -8*q. Calculate the greatest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27 - 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*m + 37. Suppose -m + 21 = 4*r. Solve -r*k**2 + 4*k - k + 3*k = 0 for k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468665223 to the power of 1\/2, to the nearest integer?\nAnswer: 21649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67250734?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.333 - -3.533. Which is the fifth biggest value? (a) v (b) 3 (c) -5 (d) 4 (e) -1\/99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 15510 = 4*l, -77550 = -298*f + 293*f + 5*l. List the prime factors of f.\nAnswer: 2, 3, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from boyoobboboo. Give prob of picking 3 o.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - 3. Let y = a - -17. Find the second derivative of 0*i**3 + y*i**3 - 3*i - 10*i**3 wrt i.\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 14*j**2 - 41*j - 283. What are the prime factors of q(-23)?\nAnswer: 2, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 75 - (0 - 0)\/(-4). Suppose -2*u = -5*l + 3*u + 460, 4*u + 12 = 0. Let h = -74 + l. Calculate the greatest common divisor of p and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18066624 and 12702.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 + -0.35. What is l rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 1:43 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 45 = 2*k. What are the prime factors of k\/(0 - 1\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-36))\/((762\/(-4953))\/(3\/(-13)))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13025 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 15*d**2 + d - 2. Let a be t(-15). Let x = -12 - a. Solve -4*q + 0 = 4*g + 8, 4*g + x = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4905)\/(-1962))\/((-1015)\/(-28)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -0.08314.\nAnswer: -0.01686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 20*f**2. Let i(k) = 34*k - 69*k + 31*k. Calculate i(y(w)).\nAnswer: -80*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/4)\/(g\/(g\/g**(3\/4))))\/(g**(2\/3)\/g*g)**(-47))**(-4\/17) assuming g is positive.\nAnswer: g**(-376\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6046814*z + 4. Let x be g(-3). Let k be (-3)\/21 + x\/14. Let v = -1304254 - k. Round v to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1307, -1340, -1405, -1508, -1655, -1852, -2105?\n\"Answer: -y**3 - 10*y**2 + 4*y - 1300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 7*w - 4. Let g be l(10). Suppose 6*y - 428 = -g. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33141411 (base 6) in base 13?\nAnswer: 28a047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from earrarrraaauaa. What is prob of sequence ra?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/11)*p)\/p**(2\/37) assuming p is positive.\nAnswer: p**(237\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r**2 + 2*r + 2. Let u be k(-2). Let j = -7 + 10. Let v be 16\/2*j\/4. Calculate the greatest common divisor of v and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7697653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 134*f - 136.\nAnswer: 2*(f - 68)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -79992 divided by 6?\nAnswer: -13332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 times -691?\nAnswer: -123689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 1)*(-4*r**4 + 6*r**4 + 3*r**4) + (8*r - 8*r + 29*r**3)*(8*r - 3*r + 2*r).\nAnswer: 183*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -26 + 36 + (-17 - -3) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -639, -1432, -2233, -3048, -3883, -4744, -5637?\n\"Answer: -g**3 + 2*g**2 - 792*g + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 10*w**5 + 85*w**4 - 250*w**3 + 245*w**2 - 5*w + 5. Let s(x) = 3*x**5 + x**4 + 2*x**3 + x**2 - x + 1. Let d(p) = n(p) - 5*s(p). Solve d(f) = 0 for f.\nAnswer: 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k + 5*k**3 + k**2 + 4*k**2 - k**2 + 0*k. Let x(i) = 6*i**3 + 4*i**2 + 6*i - 1. Let j(r) = 5*h(r) - 4*x(r). Is 8 a factor of j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263 + 20*i**2 + 22*i + 262 - 22*i.\nAnswer: 20*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 11*w + 228. Let z(j) = -583*j**2. Calculate a(z(x)).\nAnswer: -6413*x**2 + 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*1\/4)\/((-15)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77558540 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 12) to base 6\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -166, -424 in increasing order.\nAnswer: -424, -166, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 110.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7924444 times 6\nAnswer: 47546664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**3*w - 653*s**3 - 57*w with respect to w.\nAnswer: -2*s**3 - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16199033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1890094255.00000003 - 1890094276. Let u = -21 - o. What is u rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 37. Let m be d(13). What is the units digit of (2370\/(-20))\/(-3*m\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108 is divided by 534.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(3\/7)*x)\/x*x)**(-38))**(1\/33) assuming x is positive.\nAnswer: x**(-646\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82043?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5727.79 - -5711. What is l rounded to 0 dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -13 + 24 - 19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -11*p**2 + 209*p + 97. Give y(20).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-6)*l*l**(-2)*(l**(2\/13)*l)\/(l**5*l))\/((l*l**(-1\/4)*l*l\/(l**3\/l)*l)\/(l**(-2\/7)*l)**(3\/13)) assuming l is positive.\nAnswer: l**(-4525\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4709 - 5.4?\nAnswer: 4703.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3233\/20 + 649\/4. What is the third smallest value in l, -0.6, -8\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/267, 49, 22?\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 564661749 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-52)\/60)*(-52490)\/13575?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.5 - 5. Let m = b - -0.9. Let h = m - 0.40000064. Round h to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*w**4 - w**2 + 3 + 6*w**3 - 24*w**3 + 13*w**3 - 5 + 7*w**3 to the form c*w**2 + h + u*w**3 + o*w**4 + b*w and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 178*c. Let n(m) = 789*m. Give d(n(y)).\nAnswer: -622521*y**2 + 140442*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143 + -98. Let v be (-1 - 5)*(-2)\/3. Suppose -g + 0*d = -v*d - 5, -5*g + 25 = -4*d. Calculate the highest common divisor of w and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 (base 11) in base 10?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 + 469?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 135 = 6*u. Suppose u = -3*j + 72. Let f = 11 + -6. Calculate the greatest common factor of f and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*6*(sqrt(171) - sqrt(171)*2))\/(-3*sqrt(900)*-1))**2.\nAnswer: 19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 8 + 2 + (2 - 4 + 1)*(-8 + 3 + 3) + 3 + 0 - 4)*(-114 - 3*o + 114) to the form f*o + g and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 894399397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2454 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -335, -381, 3 in decreasing order.\nAnswer: 3, -335, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 47592733 to the power of 1\/2, to the nearest integer?\nAnswer: 6899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*t - 169, 2*i - 4*t + 9 = 107. Let c = i - 21. Let v = -28 + c. Solve m - 7*d = -2*d - 10, d = v*m - 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 1259470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 13*w**2 + 12*w + 32. Let c = 4757 - 4743. What is y(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20834 and 194403?\nAnswer: 368199282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 471822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 13*x + 12. Let s be 37 + -38 - 1*79\/(-1). Let c be (-1*(-1)\/(-2))\/((-3)\/s). What is the lowest common multiple of a(c) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 684613 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 29*s**2 - 54*s + 30. Let u be d(-26). Let g = u - -10163. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/112 - 3*425\/(-3465).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((((n\/(n**1\/n))\/n)\/n)\/n))**(1\/8)*((n*n**(-2\/5))\/n*n)**35)**(5\/13))**37 assuming n is positive.\nAnswer: n**(31635\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*m - 219 + 3583 + 2215 = -1523 for m.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 108b - -21?\nAnswer: 10ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aggqaaonyqqq. What is prob of picking 1 n and 1 g?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 1\/630*q**7 - 1\/24*q**4 - 1\/90*q**5 + 1\/18*q**3 - 1\/336*q**8 + 1\/60*q**6 - 19*q**2 + 0*q + 0. Determine f so that j(f) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 437*o**2 - 13*o + 1. Let c(g) = 219*g**2 - 6*g. Let h(d) = 7*c(d) - 3*z(d). List the prime factors of h(-2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1137*p + 2. Let x be r(-3). Suppose -h + 20848 - 2437 = 2*s, -4 = -4*s. Let c = x + h. What is c rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9799371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12505 + 12610. Calculate the greatest common divisor of 885 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 0 - 1\/4*v**5 + 13\/24*v**4 + 1\/120*v**6 + 11\/3*v**3 + 0*v + 6*v**2. Is f(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) - 6\/88. Let a = -1\/8 - -1\/4. What is the second biggest value in r, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 2*c**2 - 2. Let s be n(2). Let v(u) = -u**3 - 2*u - 3. What is the units digit of v(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfqfpff. Give prob of picking 1 p and 1 f.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20\/9139 (b) 796 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6195*b**3*h - 50*b**3*i + 47*b**2*h*i - 594*b**2*i wrt h.\nAnswer: 6195*b**3 + 47*b**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1441*t**2*x - 12*t**2 + 46*t*x + 729*t wrt x?\nAnswer: 1441*t**2 + 46*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26785798 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 16 = 3*z + 5*d, -2*d = -2*z + 6. Suppose s - 2 = -z. Let n(i) = i**3 - i. What is n(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48140489 divided by 5?\nAnswer: -48140489\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 + 9 - 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (260\/36 - 7)\/(16\/(-96))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1613 + -352414?\nAnswer: -354330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10745183 is divided by 411?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*p + 30 = 82*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 602643?\nAnswer: -602651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1824011?\nAnswer: 7, 260573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1\/7 (c) 0.3 (d) 0.03 (e) 62\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 16 = 4, c - 5*i = 30. What is the remainder when 63 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*j + 20, 2*j + 5*o = -2*j - 11. Find the common denominator of (78\/(-8) + 0)\/((-636)\/(-371)) and ((-56)\/36)\/(j\/57).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-41 + 3 + 4)\/(13\/(-312))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -260cd0 (base 14) to base 8\nAnswer: -4774006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1287 and 3862\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8941.158ml in litres?\nAnswer: 8.941158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 39*k + 406. Let q be d(-46). Which is the biggest value? (a) q (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + f = -34, -3*h + f = -h - 24 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457734767?\nAnswer: 7, 65390681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 301278 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -2)*78\/9. Let y = 0 + h. What is the greatest common divisor of y and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (840 + a**2 - 3*a**2 - 826)*(-4 + 1 + 7).\nAnswer: -8*a**2 + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (1007 - 991 - (0 - 67)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4389, 4380, 4357, 4314, 4245, 4144, 4005?\n\"Answer: -d**3 - d**2 + d + 4390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*(-5)\/(-30). Sort o, 0, -3 in ascending order.\nAnswer: -3, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnnnnqyzqqnznvqbn. Give prob of sequence bv.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 976?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 143213 (base 8) in base 15?\nAnswer: 100d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16, 29, 102, 203, 332, 489?\n\"Answer: 14*f**2 + 3*f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -30001?\nAnswer: -30011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -141 + -16?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55232.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 132 = -2*d, -85 = -b - d - 11. Suppose n - 5 - 31 = 0. What is the remainder when b is divided by n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/5 + 26212*d**2 - 2147221504*d\/5 + 4293918784\/5 = 0. What is d?\nAnswer: 2, 32764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 5*p**2 + 4*p + 5. Let j be v(-4). Let g be (-4)\/(-2) + (1 - 0). Suppose -5*f = 5, -3*y + g = -j*f - 26. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**9*w*w*w)\/w**4)\/(w**(2\/7))**30)\/(w\/w**(-9)*w**(-12))**3 assuming w is positive.\nAnswer: w**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 244?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -2110, -19 in ascending order.\nAnswer: -2110, -19, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 199\/(22288\/10976)\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44293\/5 != -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20002 - 202000?\nAnswer: -111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-148)\/444*(-149 - (-1)\/(-1)*4) - 1.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6315 (b) -8\/3 (c) 2 (d) 1\/5 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/17))**(6\/11))**5 assuming l is positive.\nAnswer: l**(570\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 52 = 4*u, 2*v = -0*v. Let d = u - -21. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*k = -8*k + 62 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 15*w**2 - 11. Let r(v) = 8*v**2 - 6. Let d(k) = 11*r(k) - 6*t(k). Let m(z) be the third derivative of -z**4\/6 + 2*z**2. What is d(m(h))?\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 990 + -989.9764. Let i = -0.1236 + n. Suppose 0 = d + 4, 2*h - 2*d = 6 + 2. What is the closest to h in -5, i, -13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -3576 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 209 divided by 859\nAnswer: 209\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/25 (b) -5 (c) 4 (d) -1\/4 (e) -2\/5 (f) 3\/4 (g) 3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20 + (0 - (-1 - 3)). Suppose 7*x - 15*x = f. Find the common denominator of -34 and (x\/(-27))\/((-3)\/129).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f*r**3 - 1906*f*r**2 - 13*f - 2*r**4 - 6619*r wrt r.\nAnswer: 48*f*r - 3812*f - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-69))\/(407464\/(-151156))?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 999961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(12\/4 - 0). Let f(s) = 2*s - 28 + 18 + 12. Determine f(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*c**2*i**2*y**2 + 174*c**2*i - 5454*i**2 - i + y**2 wrt c?\nAnswer: 52*c*i**2*y**2 + 348*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4842*o - 2692139. Determine a(-556).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*a + 7*a + 0 - 7 wrt a.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033182303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 + (0 - 0) - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**6\/15 - l**4\/4 + l. What is the third derivative of p(b) wrt b?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*h - 34*h + 17*h + 6 + 49*h in the form p*h + d and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -242 > 4\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684038864?\nAnswer: 2, 1877, 22777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r + 2. Let h be n(-2). Let a = h + -4. Is -1*(1 + a - 6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x**2 + 5*x - 3. Let o be y(-4). Let g = -80 - o. Suppose 2*u + 5*l - 6 = g, -2*u + 47 = 3*l. What is the remainder when 71 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 6:30 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-237)\/(-10))\/1*(-37)\/222 and 53\/136.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16500198*o*q + 2125987*o wrt q?\nAnswer: 16500198*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -119, -82, -43, -2, 41, 86?\n\"Answer: z**2 + 34*z - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 10*o + 3. Let h be v(10). Is (-8)\/6 - (-121)\/h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 386, 372, 348, 308, 246, 156?\n\"Answer: -p**3 + p**2 - 10*p + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 936\/650 + 8\/(-5). Let j = o + 14\/25. Let q = -5 - -2. Which is the nearest to q? (a) j (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373*g + 5 - 734*g + 3*g**2 + 2*g**2 - 4*g**2 + 0*g**2 + 368*g.\nAnswer: g**2 + 7*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*z**2 - 104*d**2 + 8*d*z**2 - 21*d wrt d.\nAnswer: -2*z**2 - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 82 = 97*k - 74*k. Solve 0 = 9*s + 32 + k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -133000\/53723 + 307\/124. Let v = 582271\/117844 + a. Is v <= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w**2 + 583*w + 474. What is q(-72)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 1, -3*y + 323 = 5*j. Suppose -2*b = -24 + j. Let h = 24 + b. Let z(w) = w**2 - 2*w + 4. Calculate z(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2336131 is divided by 88.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from exuoaxa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (5 - (0 - (-4 - -1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - n. Let x = -9 - -12. Let q(r) = 2*r + 1 - x - 3*r + 19*r**2 - 23*r**2. Determine 2*d(g) - q(g).\nAnswer: 2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 22 + (-1 - 30)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-4 - (-5 + (-1 - -2)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 3*y - 15 = 0, 21*j + 15 = 16*j - 128*y + 131*y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12 = -2*r, -2 = -5*r + 3*a - 0. Let s be -3 - r - -2 - 1. Solve 0 = 2*l + 8, s*j + 3*j = l + 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/21 - 2\/(-6). Let w(c) = 24*c + 7. Let h be w(-3). Let i = -63 - h. What is the second smallest value in 0.5, a, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 3. Let n(u) = u**2 + 6*u + 13. Let r be n(-6). Let g = -9 + r. Solve g*l + j = -6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((12\/(-55))\/2)\/((-112)\/(-560)). Let s = -8 - -7.7. What is the nearest to -1 in s, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + a + 6. Let r(i) = -553*i - 2903. Let m(l) = p(l) - r(l). Find the first derivative of m(j) wrt j.\nAnswer: 2*j + 554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2040*f**2*p**2 + 16*f**2 + f*p - 14*p**2 - 1764 with respect to f.\nAnswer: 4080*f*p**2 + 32*f + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -14 - 22. Suppose 0 = u*p - 16*p - 10. Factor -115*w**3 + 116*w**3 + 9 + 20*w + 7*w**2 - p*w.\nAnswer: (w + 1)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 0 + sqrt(252) + sqrt(252))*-2)**2 + 2.\nAnswer: -288*sqrt(7) + 4070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -14373*u**3 - u**2 - 3*u + 3. Let p be n(-4). Let o = 369871 - p. Round o to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -17*q**8\/336 + 19*q**4\/24 + q**2. What is the second derivative of x(t) wrt t?\nAnswer: -340*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -27*b**2. Let a(o) = 5*o - 30. Determine i(a(s)).\nAnswer: -675*s**2 + 8100*s - 24300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*h - 5. Let r = -56 + 58. Let k be ((-16)\/(-5))\/(r\/h). Solve -2*b - k = 2*l, b + 4*l = 2*b - 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 40*k + 168. Let m be v(-4). Suppose -f - 4*w = 17, m*w = 3*f + 3*w. What is the second smallest value in -3\/7, -2.5, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256.20876 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2289 - 2254. Let w = -4 + 8. Suppose -w = -13*l + k. Calculate the least common multiple of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**3 - n**4 + 4*n**3 - 20*n**3 + 5*n**4 - n**4 - 5*n**4 + (0 - n + 0)*(0*n**3 - 2*n**3 + 4*n**3).\nAnswer: -4*n**4 - 22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5081\/12 + 1695\/4. What is the closest to k in 0, 1\/2, -7, -2\/15?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 7*f - 25, 0 = -5*v + 5*f - 30 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 + 5*x**2 + 2*x - 2. Let s be p(-4). Let n = s - -90. Let y be n\/4 + (3 - 1). Calculate the greatest common divisor of y and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -565 (base 12) to base 11\nAnswer: -665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - c**2 - 5*c. Let s be f(-4). Let t be (-2)\/(-1) + (-1 - -1). Find the second derivative of -4*n**t + s - 68 + n wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 863 - 845.02. Let k = -132 + 150. Let s = u - k. Which is the smallest value? (a) -3 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31340*i**2 + 8*i - 8*i + 0*i.\nAnswer: -31340*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/5*(-20)\/24*-1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 921591*i + 4607877. Calculate v(-5).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**5\/5 - 237*y**4\/5 - 4519*y**3\/5 - 3639*y**2 + 4590*y = 0.\nAnswer: -10, -9, 0, 1, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238323 and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 38307 times 0.4\nAnswer: 15322.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.7, 2\/7, -3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 7:42 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*o**2 - 33*a**3*v + 3*a**3 - 425*a**2*k*o**2 - 78*a*o**2 + 10*k*o**2*v + 83*k*o*v + k*o - 2 wrt v.\nAnswer: -33*a**3 + 10*k*o**2 + 83*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1222?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 37*i + 662. Give f(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*w = 56, 18*d - 15*d - 5*w - 57 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65175113?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 11 + 521. Suppose -g = 2*g - i - t, -3*g + 168 = -3*i. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 963 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a = -40*a + 35. Let k(u) = -6*u**2 + 8*u + 8. Let z(h) = -4*h - 10 - h + 4*h**2 + 5. Let y(s) = a*k(s) - 8*z(s). Let i(m) = 4*m. Give y(i(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 44*y**3 + 6*y**2 + 6*y - 5. Let g(c) = 88*c**3 + 11*c**2 + 11*c - 9. Let n(o) = 6*g(o) - 11*i(o). Differentiate n(f) with respect to f.\nAnswer: 132*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + (126\/(-8))\/3 and 7\/13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -942466.\nAnswer: -1884932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 50*c + 42. Let t be x(26). Is -10 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/181484?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 256061677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54225 and 105?\nAnswer: 379575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56138634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/56 and -44\/189.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132129485?\nAnswer: 5, 107, 246971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1\/54382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 11*b + 5. Let y be s(5). Let g be (-27)\/36 + y\/4. Let h be (4\/(2\/(-2)))\/(-2). Solve -20 = 5*o + v + 2*v, -h*o - g = 4*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-345) - 4816\/1548*123\/(-506).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.06 rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 7*z - 19*z + 9*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u - 20. Suppose -5*c = -15, 5*c + 0 - 75 = 5*j. Let h = j + 17. Solve -p + 0 = -3*z - u, 0 = -h*z + 4*p - 26 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 9314437*d**2 - 3*d**3 + 9314437*d**2.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - 56. Solve m + 1 + 3 = a, -4*q = -4*m - 24 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3406576 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 534.\nAnswer: 5874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 2*s + 20*s)*(8*s - 6 + 6) - 2 + s**2 + 2.\nAnswer: 145*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 419 + 1671 = 2*y, 4*y + 3*u - 2524 = 0. Let p = y + 79. Suppose 7*q - p = 85. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1560, 1313, 902, 327?\n\"Answer: -82*d**2 - d + 1643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -192557*h + 192701*h + 2592 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -99*y**2 - 30*y. Give j(-2).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -276*j - 173. Is r(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 15*v**2 - 14*v + 1. Let l be k(-14). Suppose 8*i - 23 = 1. Solve 2*x + l = i*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 6*z - 2*z - 24 = 0, -a + 3*z = -18. What is the greatest common factor of 63 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9*h**2 + 9*h - 11. Let s(y) = 4*y**2 - 4*y + 5. Let q(v) = 2*j(v) + 5*s(v). Let w be q(2). Suppose -w*l + 135 = -2*l. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4804.761 decades to centuries.\nAnswer: 480.4761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u - 20*u + 320 = 0 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -3\/11, -811, 5.\nAnswer: -811, -3\/11, 0.09, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17.69471 and 4?\nAnswer: 13.69471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3. Suppose t = 4*u - u - 12. Suppose -u*m + 0*r + 352 = 2*r, -5*m + 5*r + 455 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 16 = -4*a, -5*j + 2*a + 8 = -0*a. Let b be ((-8)\/(-14))\/((-30)\/(-21)). Which is greater: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 1. Let j be 6\/18 + t\/6. Suppose 0*y = -j*y + 64. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3\/5, 1626.69.\nAnswer: -3\/5, -0.3, 1626.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 346013 (base 7) in base 2?\nAnswer: 1111001010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*2 + -2 + (sqrt(76) - (1 + sqrt(76)))*-4 - (-1*sqrt(114)\/sqrt(6) + (-2*sqrt(228))\/sqrt(12)))*3)**2.\nAnswer: 252*sqrt(19) + 8415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -20*q**3 + 12*q**2 - 6*q - 20. Determine p(2).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 261?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-21*(-117)\/351.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**5 + 20515*u**4 - 21619355*u**3 + 1180922865*u**2 - 14678483400*u - 55249141500 = 0. What is u?\nAnswer: -3, 30, 2023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590068778?\nAnswer: 2, 13, 22694953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1118599098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50212521 and 818?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 180*w**2 - 271*w - 7. List the prime factors of c(6).\nAnswer: 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9963909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/(-8) + (-2)\/(-8). Calculate the common denominator of 889\/84 - 3\/4 and (1\/q)\/(12\/(-345)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39586.31 millennia to centuries.\nAnswer: 395863.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -326 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116 (base 13) to base 4.\nAnswer: -2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20024 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 1085?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 3*u**2 + 4*u + 4. Let n = 0 - -2. Suppose -2*t - 3*g = -5*t - 6, -n*g + 16 = -5*t. What is the units digit of x(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 374 - 374.057. Which is the second biggest value? (a) 3 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -15*p**2 - 9. Let q(u) = -1 - 3 + 0 + 4*u**2 - 11*u**2. Calculate 4*i(x) - 9*q(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -i - 5, -3*n + 7*n - 25 = 5*i. Solve 0 = 3*v - m - 5, -5*v + n*m + 19 = m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/3 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 434*x - 51520. What is j(123)?\nAnswer: 1862","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4 + 1.4198. What is a rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -32, 8, 54?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o - 2250. Let i = 38474767\/51780 - -174\/4315. Let q = o + i. Find the common denominator of q and 143\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -13*p**3 - 102*p**2 - 111*p - 65. Let m(f) = 5*f**3 + 34*f**2 + 37*f + 22. Let v(o) = -8*m(o) - 3*s(o). Is v(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 5\/15619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-6 - -2) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 4, a: 3, n: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2926.751cm to nanometers.\nAnswer: 29267510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 373 and 11.\nAnswer: 4103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17419920 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 1, 3, 6 in decreasing order.\nAnswer: 39, 6, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 divided by -7193?\nAnswer: -650\/7193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 12:15 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(206343*c - 696*c**2 - 206343*c) in the form z*c + a*c**2 + m and give a.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 0*t**2 - 50*t + 3*t**2 - 618*t - 4*t**2 - 18 in the form v*t + l*t**2 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7055667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5830 - -4137. Let h = n - -1696. Let o = 34 + -22. What is the lowest common multiple of o and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.085 - -0.185. What is the closest to -0.1 in 0.2, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, a: 1}. What is prob of sequence gg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**3 - 32*d**2 - d - 7. Let a(w) = -239 - 236 - 230 - 21*w**2 - w - 240 + 940 - 3*w**3. Calculate 7*a(p) - 5*b(p).\nAnswer: -p**3 + 13*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4354\/868 - 12\/((-12)\/(-5)))\/((-35)\/(-140)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w + 22 - w + 4*w. What is the remainder when 65 is divided by o(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5253 and 96717?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116.6 rounded to the nearest ten?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -373*z + 92*z + 6555449. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011111011111010 + 101001101?\nAnswer: -1011110110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/6 + (-13)\/(-6). Suppose -m*p + 2 = 2*s - 6*s, -4*p + 3*s = 11. What is the second smallest value in p, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10097 + 10097.4843. Let x = q - -0.0667. Round x to 2 dps.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10082247.\nAnswer: 3, 7, 480107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -225 + 230. Sort -0.3, k, 3\/8, 2\/9 in decreasing order.\nAnswer: k, 3\/8, 2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -179345\/6 + 29891. Let n = 2.4 + 0.6. What is the nearest to n in z, -1, 0.5, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n*x**3 + 93*n*x**2 + 1058*x**3 wrt n.\nAnswer: -2*x**3 + 93*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000644602 to 5 decimal places.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 - 53*x + 126. Calculate p(-12).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5 - 44*k**4 - 192*k**3 + 44*k**2 + 674*k - 480 = 0. Calculate k.\nAnswer: -16, -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -6*v**4 + 202*v**3\/3 + 62*v**2 + 18*v + 10. Solve y(s) = 0 for s.\nAnswer: -1\/3, -1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 19661 - 19661 - 10*v**2 + 2*v**3 to y*v**3 + d*v + k*v**2 + l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/129 (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38497 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 5:57 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g**2 - g + 1. Let z(n) = -54*n**2 - 57*n + 9. Let p(b) = 2*t(b) - z(b). Let o be p(27). Solve 22*f - 10 = o*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(432) + -6*(sqrt(432) + 2*sqrt(432))).\nAnswer: -1224*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z - 71. Let r be t(-34). Suppose 67*b + 8 = r*b. Let d(o) = o - 6. Let m be d(5). What is the closest to b in m, -4\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -337 + 192. Let v = 281 + h. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-9)\/(-3)*-1*((-14151)\/27)\/(-53).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4194, -4193, -4192, -4191, -4190?\nAnswer: -4189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/240 and 137\/673728?\nAnswer: 3368640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + h = -18*p - 25, 0 = 2*p - h + 3. What is the hundreds digit of 200\/(-75)*282\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - 1000122?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1426396 and 113.\nAnswer: 161182748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319519621 divided by 915529.\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13311658781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 - 6*a - 1. What is the remainder when 8 is divided by l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2237624824.\nAnswer: 2, 279703103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(30))\/sqrt(10) - sqrt(3))**2*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3120 - 2?\nAnswer: -3122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/3 - 210514*l**2 + 16618659330*l - 49855346450\/3.\nAnswer: 2*(l - 157885)**2*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26\/33 + -4\/33. Let i = -1.72 - 0.28. What is the second biggest value in m, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2167 to 3 decimal places.\nAnswer: 0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1495430206?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 + -40. Suppose 3*p + f = -13. Let r = 6 - p. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6212, 4\/3, -1, 2, -0.3?\nAnswer: 6212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -55*a + 50*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 - 13*a - 8. Let l be h(5). Factor -19*n**2 - 108 + 87*n**l - 30*n**2 - 48*n - 22*n**2 - 20*n**2.\nAnswer: -4*(n + 3)*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*i**2 + 25*i**2 + 6*i**2)*(2 + 0 + 0) + 25*i - 38*i**2 - 23*i - 5*i**2 to the form o*i**2 + a*i + g and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 268 + -24 + -11 + 23. What is the greatest common factor of w and 736?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 2, r: 4, j: 3}. Give prob of sequence orom.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 39. Let h = g - -32. What is the greatest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 216*d**2 + 8 - 4514*d**3 - 1 - 9 + 4513*d**3 in the form t*d**2 + i*d**3 + c*d + r and give t.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 13. Let a(x) = -2*x + 18. Let m be a(7). What is the highest common factor of m and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4))**25\/(g*g**7*g**(5\/7)))**(-32) assuming g is positive.\nAnswer: g**(552\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 15, y: 3}. Give prob of picking 2 y.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + x**2 - x**2 + (x + 3*x - 3*x)*(-3 - 2*x + 3) - x - 4*x**2 + x + (3*x**2 + 2 - 2)*(2 - 2 - 1) in the form f*x**2 + w + b*x and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 11*m + 8*m = 1598, -3*m = -8*z + 6392. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 - (23 + -22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0 + (3 + 1 - 5)*(-6 + 2 - 4) - 2 - 2 + 5)*(3*p + 6*p - 7*p) as o*p + g and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 842 (base 9) to base 16\nAnswer: 2ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 187*f**3 - f**2 - 2*f - 2. Calculate n(-1).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41*q**2 - 657*q + 5*q**2 + 32*q**2)*(2*q - 2*q - 2*q**2 + (3 - q - 3)*(-1 + q + 1)) in the form t*q**2 + s*q**4 + n*q + o*q**3 + x and give o.\nAnswer: 1971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -3. Suppose -4*h + 137 = v*k + 45, 2*h - k = 36. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 11*y - 8. What is g(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 15348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/6)*r*r\/(r\/(r*r\/(r**(-2\/9)*r)))*r*(r**(-4)\/r)**(1\/14) assuming r is positive.\nAnswer: r**(191\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2646792.7 from -4.\nAnswer: 2646788.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) 0.2 (b) -0.04 (c) 1.736\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -635*c + 387333. Calculate y(610).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**5\/20 - 8*c**2. Let l(b) = 3*b. Determine w(l(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 34, 20, -28, -122?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/26)\/((-546)\/4732)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 30760?\nAnswer: 123040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 8:38 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (-5)\/5)*(0 - -5). Solve -4*j - j + i*s + 5 = 0, 4*s - 4 = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/12)\/(((-10)\/(-56))\/(120\/105)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -534*k. Let b(m) = -5*m + 904 + m - 904 - 5*m**2. Let n(u) = -12*u**2 - 10*u. Let g(w) = -5*b(w) + 2*n(w). Determine a(g(d)).\nAnswer: -534*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 136590094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70559293.\nAnswer: 7, 19, 197, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 84568 rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -607\/3 + 203. Let -w*q**2 + 8\/9 + 8\/9*q = 0. What is q?\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 36*z - 35*z + 71*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -2\/3, -0.1, -0.48?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8330844 + 0?\nAnswer: -8330844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838565?\nAnswer: 5, 7, 13, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - f + 0*f)*(-8*f - 7 + 7)*(1 - 2 + 3) as m*f + j*f**2 + o and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 61 - 29 = 0. Let z = 54 - n. Let a(j) = -2*j - 2. Let l(m) = m - 1. Let b(u) = 3*u - 1. Let r(y) = b(y) - 2*l(y). Give z*r(w) + 4*a(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 8*n**2 + 3*n - 1. Let f(q) = -q**3 - 9*q**2 - 2*q + 2. Let r(b) = -2*f(b) - 3*m(b). Suppose -410*a - 95 = -391*a. What is r(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**4\/3 - k**3\/6 - 3*k**2. Let z(x) = -x. Determine -m(s) + 6*z(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21245197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41321 is divided by 20513.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kckgckcc. What is prob of sequence cccg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302665.\nAnswer: 5, 11, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 7*g = -2*g + 8, -5*q - 4*g - 9 = 0. Is q\/(-5)*0 - (-917 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184439916.\nAnswer: 2, 3, 19, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 718617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*t = 66*t + 34*t - 30*t - 21252 for t.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 122, 4, 3\/4, 2, -3?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-93)\/(-21) - (-162)\/(-378). Let z(l) = -l**2 - 4*l. Let q be z(-2). Let y = -5 - -8. Solve q = -c*n, 6 + y = -2*j - 3*n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43375338 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -36*k**3 + 5299*k**2 - 11457*k + 294. Determine q(145).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-10\/7)*z**(1\/3)*((z\/(z\/z**(-3)))\/z*z)\/(z*z**(-14)) assuming z is positive.\nAnswer: z**(268\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/8 - 6643887*m\/4 + 44141234468769\/8.\nAnswer: (m - 6643887)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (12 + 0 - 4). Suppose -v + 372 = 4*g, 5*g - 69 = -t*v + 381. List the prime factors of g.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 19 + 28 = 0. Suppose 5*t + 3*h = 353, -2*h = -t + 2*h + 89. Find the common denominator of -95\/18 and 6\/(-4)*t\/p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6083967*c**2. Let b(q) = -5*q**2. What is b(m(j))?\nAnswer: -185073272285445*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/10 - ((-88)\/12)\/(-3 - -1)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129226*1.3.\nAnswer: -167993.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -11*s**2 - 22*s + 12. Let u be z(-9). Let v = 1243 + u. What are the prime factors of v?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 18*r**2 + 2*r + 1. Determine f(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n**(2\/9))))**(4\/13)\/(n*n*n**(-4)*n*n**(4\/5)\/n) assuming n is positive.\nAnswer: n**(922\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 328007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**5 - 59*c**3*v**2 + 14*c*v**2 - 10*c*v wrt c.\nAnswer: 40*c**3 - 354*c*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -39*y + 160. List the prime factors of w(-17).\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + ((-15 - -24) + -5 - 16 - (-6 - -6)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48420897 is divided by 1569?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18213 (base 9) to base 5\nAnswer: 400232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of (-10)\/(3*2\/(-348))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - m**2 + 5*m**2 - 3*m**2)*(-49*m - 237*m + 7*m) + 3*m**4 - 3*m**4 + 3*m**4.\nAnswer: -276*m**4 - 279*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 40 + 803?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -11 + 9. What is the second derivative of 2*c**2 - c - 2*c**j - 20*c**3 + 20*c wrt c?\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -4 - -2)*1. Let j = -43.3 - -45.3. Which is the closest to -2\/7? (a) -2 (b) j (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 14*u = 0. Let d be ((-129)\/(-430))\/((-3)\/(-4)). Suppose u*f - 2\/5*f**5 - 2\/5*f**4 + d*f**2 + 0 + 2\/5*f**3 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1077 - 799 = -3*a + 5*r, a + 2*r = 607. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - ((-29 - -72) + -24).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 553709 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 173, 175, 177, 179?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 - 10 + 6 + 2*c - 33*c**4 + c + 2*c**3 + 29*c**4 in the form n*c**2 + q*c + a*c**4 + k*c**3 + p and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiii. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 52*i**3 - 2*i**2 + 2*i. Let a be j(2). Suppose 0 = -5*d - a - 193. What is d rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357224347?\nAnswer: 357224347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1, -0.4, -10439.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {e: 8, w: 5, g: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 318240 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f - 9*f - 13*f + 31*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1)*-1*3. Solve d - 6 = -z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -736*j. Let v(i) be the first derivative of -i**3\/3 - 243. What is d(v(r))?\nAnswer: 736*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -13*q**2 + 13*q - 13. Let g(v) = -66*v**2 + 12*v - 66. Let p(j) = -5*j**2 + j - 5. Let l(r) = 4*g(r) - 54*p(r). What is -9*l(u) - 4*x(u)?\nAnswer: -2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 14*c**2 + c + 25. Let a be q(-14). Suppose -1316 = -a*z + 4*z. Does 47 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 25, -4*o + 4*a = -6*o + 30. Suppose 2*v - 1251 = -o*m, -4*v - m + 1151 = -1342. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/(-10) + (-174)\/348.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -ec4 (base 15) to base 10\nAnswer: -3334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202054600 rounded to the nearest 100000?\nAnswer: -2202100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -58, -27, 8, 41?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/9 and (1443\/234 - (-6)\/(-36)) + 22808\/(-3805).\nAnswer: 34245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 3, 0, -2\/5, 224 in decreasing order.\nAnswer: 224, 3, 2\/7, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-651)\/(-868) + (-1)\/(-4) + 0. Let i(o) = -1. Let d(a) = -4*a - 8. Determine x*d(u) - 6*i(u).\nAnswer: -4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.209212 times 0.4\nAnswer: -0.0836848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 2*r**2 - 5*r - 2. What is q(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x = 4*i - 24*x + 5, -3*x - 15 = -5*i. Let a be (i\/7 - -521) + -3. What is the greatest common factor of a and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/5 + 974902*r**3\/5 + 4874474*r**2\/5 + 1364850*r + 2924676\/5 = 0.\nAnswer: -487446, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.888 + 0.358. Let v = -25.5 - i. Sort -3\/5, -5, v, 4\/3.\nAnswer: -5, -3\/5, v, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169551224?\nAnswer: 2, 21193903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11969714 is divided by 194?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2377, 11228, 25951, 46516, 72893?\nAnswer: 105052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1584)\/32 + 48)*19\/(399\/1120)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93 - (-228 - -119)) + -103.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1052 = g, -247*g = -5*y - 246*g + 5296. What is the highest common divisor of y and 276?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4970983 divided by 5.\nAnswer: 4970983\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*l. Let o(c) = c**2 - c + 3. Let q be o(l). Suppose f + 2 = 3*r, -q*r + f = -2*r - 2. Solve -6 = 2*k - r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from xexexxxe?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u + 8700. Let z(b) = -3*b. Calculate z(y(i)).\nAnswer: -12*i - 26100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -47*l**3 + 10*l + 5. Is c(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c5 (base 13) in base 12?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 3)\/(1 + -2). Let v(k) = k**3 - 3*k**2 + 1. Let u be v(h). Let o(c) = c**3 - c - 3. Let i be o(0). Sort i, 3, u in decreasing order.\nAnswer: 3, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - z**5 - 3 + (-2*z**3 - z**4 + 2*z**3)*(2*z + 3*z - 4*z) - 6*z**5 - 10*z**5 + 3*z**5 + (3*z**4 + 3*z**2 - 3*z**2)*(3*z + 6*z + 3*z).\nAnswer: 21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euhd when four letters picked without replacement from {h: 4, d: 2, b: 4, e: 3, u: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 - 1 = 0. Suppose 42*o - 63 = 21. Find the third derivative of 7*a**o + a**4 - 31*a**j - a**4 - 18*a**5 wrt a.\nAnswer: -1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 170242 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -35, -0.1 in descending order.\nAnswer: 2, -0.1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*y - 4*i = 10, -3*i = -y + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3289, 0, -5 in descending order.\nAnswer: 3, 0, -5, -3289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45562395?\nAnswer: 3, 5, 977, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 380256846.\nAnswer: 380256844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 162 = -j, 405 + 81 = 3*n + 3*j. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/9 + -2\/9. Let t(g) be the first derivative of -g**2\/2 + g + 5. Let f be t(2). What is the nearest to f in 1\/9, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/4*(-10)\/(-5)*6324\/(-7905).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5958 or 5207?\nAnswer: 5207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 161497 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p**2 + 6*p**3 + 3*p**2 + 5*p**2 wrt p.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 4\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138846653.\nAnswer: 11, 23, 49891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/34 + (-592)\/629. Put -1\/2, -98, f, -0.2 in decreasing order.\nAnswer: -0.2, -1\/2, f, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*u - 15. Let t be 18\/10 - 2\/u. Find the second derivative of 57*b**2 - 57*b**t - 4*b - 6*b**4 wrt b.\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 75*x**2 - 4*x + 7. Let a be u(1). Let c = 162 - a. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + (-53)\/20 - 858\/1430\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3 - 1535*i**2 - 120336*i - 666540 = 0. Calculate i.\nAnswer: -69, -6, 1610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -370, -1452, -3252, -5764, -8982, -12900, -17512?\n\"Answer: c**3 - 365*c**2 + 6*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 597 divided by -4\nAnswer: -597\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, i: 1, b: 1, h: 11, f: 3}. What is prob of picking 1 b and 1 k?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 8*m**2 + 10*m + 158. Determine u(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -15*d**3 - d**2. Suppose 2*y = 4*b + 12, 0 = 2*b - 5*b - 5*y + 17. Let j be f(b). Let r = j + -3. What is the highest common divisor of r and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*((k*k**(-11\/3))\/k)\/k*k*k)\/k)\/k)**(-13\/6))**(-45) assuming k is positive.\nAnswer: k**(-715\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 greater than or equal to 63221\/280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123072521 is divided by 41024170?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 7 + 1. Let t(s) = 2 - 3 - 9 + 7*s. Let i(p) = 15*p - 21. Let h(z) = u*i(z) - 9*t(z). Give h(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/27556 and -91\/1140088.\nAnswer: 94627304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(1995\/28))\/(-4)*(-18)\/(-1).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + c = 25, -4*f = -3*c + 9 - 30. Let v(s) = 2*s**2 + 8*s. Calculate the lowest common multiple of f and v(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218779049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 21 = -3*d, 3*d - 3 = 6*d + 3*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1218 and 1526?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 49 + (1 + -27 - -17)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 46*h + 517. Let z be o(-24). Let n(x) = 14*x**2 + 5*x + 3*x + 3*x**3 - 2*x**3 + 1. What are the prime factors of n(z)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -246912 divided by -81\nAnswer: 82304\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-21))\/((-80)\/2968*(-153)\/255).\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 - 5*n**3 + 0*n**3 + 2*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*c)*(3 - 3 - 1)*((-2 - 3 + 4)*(0*c**2 - c**2 - 4*c**2) + 0 + 3*c**2 + 0).\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k + 10 = -5*b, 4*k - 3*b = 40. Let v be k\/165*3*1. Let w = -0.7 - 0.3. Sort -3, w, v.\nAnswer: -3, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2*sqrt(30) - sqrt(30)))\/((-1*sqrt(70) + sqrt(70) - sqrt(70))\/sqrt(7)))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 295 - 293. Suppose -2*y - 5*b - 16 = 0, y + 2*b - 2 = 3*y. Let m(s) = 2*s**2 - 3*s. Let v(a) = 2*a**2 - 4*a. Determine h*v(t) + y*m(t).\nAnswer: -2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 1, f: 6, u: 3}. Give prob of sequence puf.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(2\/((-2)\/1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5576505013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {o: 1, z: 1, q: 1, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -191, -252, -273, -242, -147, 24, 283?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48\/119 + -3\/119. Let z = -32 + 19. Let g = z + 12. Which is the second smallest value? (a) -5\/4 (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 + -3.01. Let u = -359 - -358.69. Let j = u - h. Which is the second biggest value? (a) -3\/4 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4*2*0. Suppose v = -a - 3*k + 1 + 1, 4*a + 3*k = 8. Let q = a + 1. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -40\/3, -247, -0.5.\nAnswer: -247, -40\/3, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/15*(0 + 42) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26968 is divided by 961.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 15, v: 3}. What is prob of picking 1 v and 1 z?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1703437 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7*(7\/(-35))\/((-2)\/10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-3))**(-10\/9))**(-2\/37))**(1\/12))**40 assuming b is positive.\nAnswer: b**(-400\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*d**2 - 83*d**2 + 132*d**2 + 51 - 83*d**2 wrt d.\nAnswer: -160*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 4778979 + 4778979.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220871480.\nAnswer: 2, 5, 17, 324811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n, -4*n - 192 = -2*g. Suppose 0 = -3*a - a + 484. Let j = a + g. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(304))*-5*2.\nAnswer: -40*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133512*330.\nAnswer: -44058960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-70)\/(-20)*(-16)\/(-14). Let y(h) = -h**2 + 4*h + 2. Let n be y(x). Is n <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11813 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15056821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(32345\/10 - 3). Is -3 + 15\/9 - s\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 155, -3, 2 in decreasing order.\nAnswer: 155, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, z: 1, y: 1, o: 3, t: 3}. What is prob of picking 1 t and 1 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -641?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 6:04 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 382 = 268. Let t = 230 + x. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 311072336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyygyy. Give prob of sequence yg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003284 to 5 decimal places.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48714531 to the power of 1\/2, to the nearest integer?\nAnswer: 6980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -529, -1059, -1589, -2119?\n\"Answer: -530*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/3)\/(((-134)\/1072)\/((-3)\/16)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 7*y - 4. Let u be b(5). Let m(l) = -6*l + 44. Let d be m(7). Let h(j) = 7*j**d + 853*j - j**3 - 435*j - 3 - 426*j. Give h(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3591999094 to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1312 - 21321?\nAnswer: -20003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1626010526?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 10418*n. Let x(h) = 30*h. Calculate x(b(u)).\nAnswer: 312540*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c**2 + 5*c + 4. Suppose -18*o - 11 = -47. Let f(t) = -1 - 2 + 4 - 59*t**2 + 58*t**o. Give 4*f(p) - r(p).\nAnswer: 2*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 149*s + 149*s - 604*s + 153*s + 150*s. Let c(w) = -5557*w**2. What is c(o(f))?\nAnswer: -50013*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4174853 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -7*z**4\/12 + 2*z. Suppose 5*x = 2*x + 6. Let v(j) = -68*j + 68*j - j**x. What is v(u(n))?\nAnswer: -49*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 3 + o**2 + 1 + 0 + 3. Let r(u) = 0*u**2 - 3*u**2 + 2*u**2. Calculate r(k(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 261388.\nAnswer: 1568328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*0.2.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0. Let d be 6\/2 + 1 + 18\/(-5). Which is the closest to n? (a) 5 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 4:01 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -12) + (-12)\/6. Suppose b - c = -3*v, 4*v = 5*b - b + 28. Suppose 3*y - 54 = -2*d, y = 4*d - v*y - 130. Is d greater than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -6 - -5) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956660?\nAnswer: 2, 5, 31, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12991 divided by -1088?\nAnswer: -12991\/1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0189268 to four decimal places.\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/9, 2\/17, -22?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 3*s. Suppose -h + s*h + 29 = 0. Let y = -21 + h. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2051623542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002472276 to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a - 2. Let w be x(1). Find the third derivative of w*p**6 + 51*p**2 - 46*p**2 - 36*p**6 wrt p.\nAnswer: -3960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/((-663)\/(-5525)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70386555 by -4692437.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -1 - (0 + 0). Suppose 0 = 5*h - 1 - 9. Which is the second smallest value? (a) k (b) h (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/15*(5 + 1). Let l(n) = 53*n**2 - 6*n + 4. List the prime factors of l(k).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 36c6372?\nAnswer: 36c6375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 31*s**3 + 5*s**2 + 3*s. What is l(-1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1638, 723, -808, -2955?\n\"Answer: -308*h**2 + 9*h + 1937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 2*t - 1. Let a be o(2). What is the units digit of a\/(-2)*2\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 2:18 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 89*t**2\/2 + 11*t - 23. What are the prime factors of d(2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 + 0.04. Let s = c + 0.4. Let z = s + -0.399964. Round z to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 5:29 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*v + 755 = -337 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160*r**3 - 320 + 87*r**2 - 28 + 162*r**3 + 71 - 586 wrt r.\nAnswer: 6*r**2 + 174*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2954100 = 31564*v - 31614*v. What is v rounded to the nearest one thousand?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189 + -948\/5. Let t = 6 + -10. What is the third smallest value in -1\/5, t, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 2*z - 2)*(0 - 3 + 0) + 0*z + z + 2*z)*(5 - 2*z - 5)*(14 + 9 + 34) to f*z**2 + h + c*z and give f.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 855?\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/11 - 6\/99*-3. Let f(n) be the second derivative of 1\/20*n**5 + 0*n**4 + 0*n**3 + t*n**2 - 1\/30*n**6 - n + 0. Determine h so that f(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7977 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48389604 divided by -6?\nAnswer: -8064934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5439.57 times 2.1?\nAnswer: -11423.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39 or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3062\/87 + -120\/29. Let m = s + 40. Let b = -3\/8 - -1\/24. What is the nearest to b in -2\/21, m, 0.4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 17) + (4 - (-40 - (5 - -1)))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 3*n**2 - 3*n. Let c be d(-2). Solve c*x = -x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s + 1. Let b(n) = 5*n**3 + 6*n - 32. Determine b(l) + 6*d(l).\nAnswer: -l**3 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*c = -8, 0 = -2*w + 6*w - 4*c - 4. Suppose -i + 5*n = -2*i + 19, 4*i - w*n = -24. Let k be 14 + i - 24\/6. Solve 4*g - k = -1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32 + (0 - (-2 + 0)). Let s = -35 + f. Which is the nearest to -2? (a) -5 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i + 5*i - 8*i - 2420569*i**2.\nAnswer: -2420569*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -3.75 (c) -2\/15 (d) -10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-36)*12\/(-15))\/(93\/(-5022))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 2*p**2 - 14*p - 3. Let y be d(5). Is -20 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.73 (c) 95 (d) -5 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 8. Let f be 3\/n - (-74)\/232. Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2 (b) -10 (c) 25\/428\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17244098 divided by 2.\nAnswer: -8622049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + 19*f - 1. Let b be (-12)\/24 + 15\/2. Let q be h(b). Let n = q + 18. Solve -n*r + 1 = -14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.9 + -13.9000057. Round h to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 47*h - 14. Let x be p(46). What is the derivative of -208*n**2 + 194 - 52*n + 20*n + x*n wrt n?\nAnswer: -416*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 6. Let w be g(6). Suppose 7 - 34 = 3*l. Let k be (-38)\/(-48) + 6\/l. Which is the closest to w? (a) 0 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 4*r - r. Let c = 2 - -4. Let o be -3 + 0 - (-24)\/c. Give j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -105*b**2 - b. Let s be ((-4)\/(-6))\/(7*14\/147). Let j be c(s). Let x = j - -198. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -10031031044?\nAnswer: -10031031042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47.98 - -52.98. What is the smallest value in 3\/2, -0.2, 1, 4, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3 - 696906*z**2 + 2787656*z = 0.\nAnswer: -348457, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/3 and -8\/1423.\nAnswer: 4269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r + 421 = 80*r - 129 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 374 and 68?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 6*q**2 - 15*q - 21. Let u be l(-7). Differentiate u - 2 - 3*s**4 - 3 + 40 + 26*s**2 with respect to s.\nAnswer: -12*s**3 + 52*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 54*z - 540 = 56*z, 0 = -f + 3*z + 130. Suppose -f*k + 2968 = -128*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-3\/7)))**24 assuming l is positive.\nAnswer: l**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(64) + 5 + sqrt(50) - (1*sqrt(432))\/sqrt(6))**2.\nAnswer: -15*sqrt(2)\/2 + 209\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 4115805732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 5*a - 108 = 0. What is the highest common factor of 396 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2493 divided by -3\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 784*n. Let q(s) = -262*s**2. Determine l(q(z)).\nAnswer: -205408*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yftttyfttffftfyyf. What is prob of sequence yytf?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199215380 by -21398.\nAnswer: -9310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 264, -14\/9 in descending order.\nAnswer: 264, 4, -14\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 divided by 15?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 356095 a multiple of 1555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 63. Suppose -3*c - 135 = -t*b, c - 231 = -4*b - 26. Suppose -b = -5*p + 625. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f + 30*f + f**2 - 3*f**3 + 37*f.\nAnswer: -3*f**3 + f**2 + 75*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g. Let v(h) = 49*h + 9. Let o(p) = 40*p + 8. Let l(y) = 4*o(y) - 3*v(y). Give l(j(w)).\nAnswer: 130*w + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (-3*(sqrt(76) - (-1 + sqrt(76)))**2 - sqrt(76)))*-2.\nAnswer: 9 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191b3 (base 16) to base 5.\nAnswer: 11242320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94066394?\nAnswer: 2, 4759, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) -0.09 (c) -4\/1857 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25422235 (base 6) in base 8?\nAnswer: 3117757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6909 + 6918. Solve t*k - k + 40 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -93, -474, -1505, -3510, -6813, -11738, -18609?\n\"Answer: -54*v**3 - v**2 - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -401042 divided by 839\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 64. Let r be n(33). Solve -2*q - u - r = q, 5*u + 10 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -59*f**6\/120 + 61*f**5\/30 - 9*f**2. Find the third derivative of k(l) wrt l.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19652321 to the nearest integer?\nAnswer: 4433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m - 3*m)*(-5*m - 1 + 1 + (m + m + m)*(-5 + 2 + 4)) + 3*m - 3*m - 2*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3793372 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) 1 (b) -1 (c) -0.1657\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21440763 - 2?\nAnswer: -21440765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (440 - 426) + (35 - 4).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 33. Solve z*l - 4*g = 22, 2*g = -5 - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8751498 millilitres?\nAnswer: 0.0008751498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**4 + 834 - 492*w**6 - 1672 + 832 - 194*w**2 - 414*w**6 - 3*w**4 wrt w?\nAnswer: -108720*w**3 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/119 in -9864, 2, -3, -0.4, -4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 18*a**2 - 6*a + 2. Let u be h(2). Let i be (3 - 2)*-43 + 1. Let x = u + i. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 172b3 (base 13) to base 9\nAnswer: 66840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056 is divided by 58?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(147) + -1)**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3. Let a be ((-5)\/(-2))\/(-5)*f. Suppose j - 3*j + 4 = a. Solve 2*v = -10, -4*l = j*v + 7 + 19 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2892514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13580783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*n + 1263 = 258, 2*n = -4*a + 3910. Does 28 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 + g**3 + 0 - 2 + g**2 - 3 + 5*g. Let o be 0\/(2\/2) - (-5 + -1). Let q(y) = 6*y**2 + 11*y**3 - 10 - 10*y**3 + o*y + 4. Give -5*q(a) + 6*w(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(7\/2)\/a)\/((a\/a**(-5))\/a))\/(a*(a\/(a**(1\/2)\/a)*a)\/a)**(2\/47) assuming a is positive.\nAnswer: a**(-245\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1314*t + 9280. Calculate l(-7).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215951.\nAnswer: 17, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Let f(m) = v*m - 4 + 8 + 2*m**3 + m**3 + 2*m**2 + 0*m**3. Let d(w) = w**3 + w**2 + w + 1. What is 2*d(b) - f(b)?\nAnswer: -b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvpvpvkkvwvpwvpk. Give prob of picking 1 k and 2 v.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -42367.95?\nAnswer: -42367.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4450?\nAnswer: 1\/4450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48448, 48479, 48510, 48541, 48572, 48603?\nAnswer: 48634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 59, -256 in decreasing order.\nAnswer: 59, 1, -5, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -11*s + 10 - 47. Which is the closest to -4\/5? (a) 5 (b) -1\/3 (c) s (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 1. Let q(i) = 9*i + 18. Let h(t) = 10*t + 24. Let y(a) = -2*h(a) + 3*q(a). Calculate 6*x(u) - y(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 3, 5, 182, 22, 2.\nAnswer: -7, -2, 2, 3, 5, 22, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 3*x + 2*o - 94, -2*x - 54 = -0*x - 0*x + 22*o for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 289937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 5:43 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1121.566 hours?\nAnswer: 4037637600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*i + 4*i - 42, 4*s - 3*i = -39. Let k(j) = -j**2 - 12*j + 12. Let c be k(-11). Let o = s + c. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 - 504\/33 - 1260\/(-22) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3718229 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/2)\/(-1) - 7\/(-14). Solve v - 30 = -2*c - 3*v, -4*c = -n*v + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73945 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2296 + -2295.9872. Round j to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.371233 to 3 dps.\nAnswer: -0.371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 176*l + 322 + 327 - 649.\nAnswer: -l*(l - 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/5 - 238*s**2\/5 - 1552*s\/5 + 1792\/5 = 0. What is s?\nAnswer: -112, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 23*c**5\/60 - c**4 + 5*c**2 - 3*c + 65. Let t(u) be the second derivative of a(u). Find the second derivative of t(h) wrt h.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5468 and 148.\nAnswer: 202316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 105757, 51, 0.2 in ascending order.\nAnswer: 0.2, 4, 51, 105757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*l - 4*l. Let j = l - -16. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b. Let n be j(3). Let y be (n\/(-15))\/(1\/5). Let r(u) = -16*u + 7. Let v(x) = 5*x + 18 - 12 - 8. Give y*r(k) + 7*v(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -33, 98825, -2 in descending order.\nAnswer: 98825, 1, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofssofofscfocc. What is prob of sequence so?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (76 - -32) + -22 + -50\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 - 131*f**2 + 207 - 592 + 193 - 117*f**2.\nAnswer: -248*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, m: 1, h: 3, p: 1, l: 4, x: 7}. Give prob of sequence hhx.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15754, 62481, 140360, 249391, 389574?\n\"Answer: 15576*q**2 - q + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/990*((-1)\/(-18) - (-2046)\/837).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - p - 8*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (8 + 1 - 3). Let l = -7 - f. Suppose z - 6*z = 2*c - 84, -l*z - 120 = -4*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**5 + 2588*a**4 - 495852*a**3 + 28832580*a**2 + 123430608*a = 0.\nAnswer: -4, 0, 147, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 4. Let l(f) = 3*f + 9. Suppose -4*s + 2*s + 26 = -4*n, -5*s - 2*n + 5 = 0. Let y = 5 - 3. Let x be s\/(-6) - (-11)\/y. Calculate x*v(c) - 2*l(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 299 + -282. Suppose 27 = 11*g - h. Solve -2 + 1 = -3*l - g*m, 4*m = -2*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 29*w**3 - w**2 - w + 1. Calculate the remainder when p(1) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uh when two letters picked without replacement from yuhdyyhhuhhmyhmu?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**3 - 45672*q**2 + 130370724*q = 0. Calculate q.\nAnswer: 0, 5709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226 + 4*w**2 + 226.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllaalllllllllalla. Give prob of picking 2 l and 2 a.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -319 in 5, -18\/7, 3, 6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2535623 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 0 + 0)*(-2 + 2 + 11*y**2)*(2 - 4*y + 4 - 5) in the form p*y**4 + a*y + j + c*y**3 + s*y**2 and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5877447.\nAnswer: 3, 1959149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 43\/3 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k + 15*k - 6*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4*n + 4, 4*s - 12 = n - 3*n. Let d = -6 + 11. What is the second derivative of 5*l + 0*l + 0*l**4 - d*l**s wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12878, 17829, 14850, 3941, -14898, -41667?\n\"Answer: -3965*u**2 + 16846*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 - -13?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 3:39 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540500 rounded to the nearest 10000?\nAnswer: -1540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 3*g, 411*g + 34 = 416*g + 3*a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*k - 32 = 0, -69 = -5*l + 2*k + 23. Calculate the smallest common multiple of l and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16\/115 (b) -161445 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11737 + 935*t - 2*t**3 - 829*t + 0*t**3 + 2451*t + 663*t wrt t?\nAnswer: -6*t**2 + 3220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4849 and 11566737.\nAnswer: 11566737.4849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.086 + -21.08. Let s = m + -0.006. Let n = 7 + -7. Which is the closest to -1? (a) s (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/24)\/((1846\/156)\/71).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2. Let x(n) = 5974121*n**2. Give o(x(z)).\nAnswer: 35690121722641*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 6*q - q - 51, 4*q - 48 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1872 equal to 2291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7768*j*z**2 - 4*j*z + 3*j + 248 wrt z?\nAnswer: 15536*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*i = 30, -4*c - 2*i - 3 = -31. Solve 0 = c*o - 14 - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1 + 0*z - 3*z + 2*z. Let f = 3 - -1. Let o(j) = -j - 2. Let u(n) = f*s(n) - 3*o(n). Differentiate u(i) with respect to i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**3 - w**2 + 1. Let p(r) = 2 + r**2 + 0*r**2 + r**2 - 3*r + 0*r**2. Let z be p(2). Suppose z*s + s = 5. What is b(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63004830 is divided by 294415?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (2 - (-9 - 4 - -13))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -458382.1 to the nearest 1000.\nAnswer: -458000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -753, -830, -909, -990, -1073, -1158?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -7\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -19*o - 937. Calculate h(-35).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 187697130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -5. Suppose -3*f - 6 = -m, -5*f - x - 7 = -m. Find the third derivative of -21*i**2 + 19*i**2 + 0*i**m - i**3 wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 2:04 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -15478586 to the nearest 10000.\nAnswer: -15480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1030535.27101 - -1030541. Let h = m + -5.74. Let p = h + 0.0087. What is p rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4031211 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggwmzhgg. Give prob of picking 1 g and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -54, -71, -88, -105?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 1)*(-20*p - 4*p + 5*p) + (0*p + 4*p - 3*p)*(4 + 2 - 1))*(-2 + 3 - 6).\nAnswer: 165*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**1*j)\/j)**8)**(-38))**6 assuming j is positive.\nAnswer: j**(-1824)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*z + 4 + 15, 0 = 3*w - 15. Let r(g) = g**3 + 4*g**2 - 3. Let i be r(z). Let t = i + -6. Sort t, -4, 3 in ascending order.\nAnswer: -4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**5 - 132*f**4 - 2180*f**3 + 25860*f**2 + 90736*f + 62832 = 0.\nAnswer: -17, -2, -1, 11, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 84 + 44 - 1347429*m**2.\nAnswer: -1347429*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 896444.\nAnswer: 2\/224111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 146538 * -123\nAnswer: -18024174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1) + 6 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-8)*0)\/(-1). Let x be -4 - -5 - (y + 2 + -21). Suppose 0 = 4*v - 3*g - 35, -2*v = 2*g - 7 - 7. Solve v = -3*s + x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q + 7. Let x(w) = 3*w + 2. Let s(m) = 2*t(m) - 7*x(m). Let b be s(-6). Solve -d = 2*d + b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - 5.06. Let g = -2 - 0. Which is the third smallest value? (a) 2\/9 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 49*o**2 - 104*o + 225. What is the remainder when 462 is divided by u(51)?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 915766 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-36)\/(-20))\/(9\/1035). Calculate the highest common factor of 36 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -118*c**2 + c**5 + 382*c**3 - 382*c**3 + (-10*c**3 + 9*c**3 - 5*c**3)*(-4*c**2 + 3*c**2 - c**2) - 3*c**3 - 2*c**5 + 3*c**3.\nAnswer: 11*c**5 - 118*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 329 = -52*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 10. Let h be p(8). Let s be h\/(-6) + (-20)\/(-6). Solve -5*j = 20, 12 = 2*w - 4*w - s*j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**4 + 3*i**2 - 1 - 4*i**2 + 9*i**3 - 4*i**3 - 6*i**3 to the form t*i + y*i**2 + j + h*i**3 + x*i**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:28 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3647, -10915, -18177, -25433, -32683, -39927?\nAnswer: -47165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -2 + 3 + 13. Let f = 29 - 19. Let x = f - w. Is -4 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*s**5 - 169*k**2*s**3 - 6*k**2 - k*s - 4*s wrt s.\nAnswer: 40*k**2*s**3 - 1014*k**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/263 (b) -20 (c) -1\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270940 and 760.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 2. Let w(j) = j + 3. Let z be w(p). Which is the closest to z? (a) -1 (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/10*(-204)\/(-153). Solve 3*k = g*d, -10*k - 7 = -14*k + d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1122 = 234580*j - 234698*j - 3598 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8721285?\nAnswer: 3, 5, 19, 71, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 - 47. Which is smaller: 36 or g?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**(-13)*r*r*r*r*r**(-9\/5)*r*r)\/(r**14*r**1) assuming r is positive.\nAnswer: r**(-104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvzv when four letters picked without replacement from {z: 1, v: 11}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1094488*d**4 - 119886*d - 3.\nAnswer: -13133856*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 538230 and 103950.\nAnswer: 24220350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g - 3. Let f be ((-12)\/28)\/(2\/(-14)). Let m be y(f). Suppose m = 2*z + z. Is z at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (2 - 2\/8). Suppose -4*g + 3*m - 15 = 20, -25 = -5*m. Let o be (-4)\/8*2\/g. What is the second smallest value in w, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 5:16 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*1\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 63*v**2 + 4*v + 10. Let l(t) = -18*t**2 - t - 3. Let x(m) = 3*h(m) + 10*l(m). Let z(w) = -59*w. Give z(x(r)).\nAnswer: -531*r**2 - 118*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*q - 23, p + 3*q - 6*q = 19. Solve c - 2 = p*n + 3*c, 4*c = -5*n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5 + 45374*f**4 - 171581780*f**3 + 114367688*f**2.\nAnswer: -f**2*(f - 7562)**2*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25495094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r + 2. Let i be (-2)\/3 + 32\/3. Suppose s = 4*h - 0*h - i, 0 = -2*s + 2*h - 2. Let c(d) = -s + 1 + 0*d - 4*d. Calculate -4*c(p) - 3*j(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1262*c + 136322. Determine a(-108).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 57*c**2 + 738*c - 15. Calculate g(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -57*g**2 - 29*g**2 - 15*g**2 - 30*g**2 - 6*g**2. Let q(m) = -14*m. Give u(q(z)).\nAnswer: -26852*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/13 - 166*h**2\/13 - 1620*h\/13 - 3312\/13.\nAnswer: 2*(h - 92)*(h + 3)*(h + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-90)\/25*(-1)\/3. Do 0 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1294941.\nAnswer: 3, 17, 25391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 - -3) + 23 + -12 + -22.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 276 and 17855826.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 + -71. Suppose -o + z = -0*o. Suppose 5*p - o = p. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54785 + 3*n**2 + 4*n - 4*n.\nAnswer: 3*n**2 + 54785","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -900.8988 + -17.2312. Let p = l - -914. What is p rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39823 and 3339?\nAnswer: 18995571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 1, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*m - 3*n, 5*n - 10 = -0*m - 5*m. Let k = -0.1 + 1.1. Suppose 11 = -5*o - 14. What is the second smallest value in k, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 203 - 4 + 12459*o + 438 - 6240*o - 6228*o to the form q + i*o and give q.\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3027241 divided by -432463.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(3\/(-12) + (-54)\/(-504)). Let y(s) be the second derivative of 1\/50*s**5 + 0 + 0*s**3 + 0*s**2 + w*s + 1\/30*s**4. Suppose y(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -854 and 0.5.\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.017 - -1.033. Let m = -19.25 + p. Let i = -17 - m. Round i to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 6. Let u be x(4). Let j = -0.48 + 0.38. What is the nearest to j in -2, u, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.59165ug in tonnes?\nAnswer: 0.00000000002059165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*c**3*w**4 - 5*c**3 - 17*c**2*w**4 - 50*c**2 wrt w?\nAnswer: -60*c**3*w**3 - 68*c**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 2)\/(15\/(-60))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**4\/12 + 2*c**3\/3 - c**2 - 2*c. What is v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 150 = -3*z, 23*z + 3*m = 24*z - 54. Solve 0 = -2*q + 4*n - 2, -45*q + z*q - 5*n = -4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*z + 1. Let u be z*3\/(-42) + 0. Let v = u + 4\/21. What is the closest to v in 0, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175 divided by -4\nAnswer: -175\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**7\/70 + 3*s**6\/40 + s**5\/10 - 3*s**4\/2 + 4*s**3 - 9*s**2. Factor o(v).\nAnswer: -3*(v - 2)**2*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 + 4535*t + 4510*t - 9031*t - 2 + 2 - 4*t + 3*t + 2*t - 6*t - t - t + 4*t + (-t - t + 4*t)*(5 - 3 + 0) in the form m*t + a and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13 + ((-15)\/90 - (-5)\/(-6)). Let v(q) = 3*q**2 + 14*q - 3*q**2 - q**2. List the prime factors of v(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19849, -1231, -4.\nAnswer: -19849, -1231, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1004 (base 5) to base 11\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 18 - 322. Suppose 2*d + 20 = a. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632*l - 254*l - 165*l.\nAnswer: 213*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2040085034 to the nearest integer?\nAnswer: 45167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 12*u - 16. Let y be t(13). Let r(j) = j**3 + 2*j**2 - 3*j. Let f be r(y). Factor f + 0*o**4 + 0*o**3 + 0*o**2 + 0*o - 2\/9*o**5.\nAnswer: -2*o**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/6 of a year?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 13*b - 7. Calculate the remainder when x(6) is divided by 98\/(-21)*3*(-120)\/140.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2204*g + 3720 = -2111*g for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*(0 + sqrt(242) - sqrt(242)) + 1) + -2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*(k\/(k\/(k*k*k\/(k\/(k**(-11)*k)))))\/k)\/k)\/k**(-11))**(6\/17) assuming k is positive.\nAnswer: k**(18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509559?\nAnswer: 3, 29, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1\/4, 1\/965, -0.5, -62\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 1)*(26\/(-52))\/(-1). Is d at least as big as -2\/13083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 788 in 1.1, 2, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -2 - 6. Suppose -8 = -3*k - 11. Sort -2, p, k, -5.\nAnswer: -5, -2, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 0 - (-2)\/1. Suppose u - v - 14 = 0, 0 = -c*u - 4*v - 0*v + 64. Calculate the remainder when 29 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**2\/2 - 3*z - 6829. Let t(d) = d**3 + 1. What is -a(r) - t(r)?\nAnswer: -r**3 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2 + 2)*(0 + 0 - 2*i) + 0*i**2 - i**2 - 4*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 19 + 0 + (-3 - (0 - -4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s + 4 - 298780*s**3 + 2*s**2 + 6*s - 2 - 219738*s**3. Let f be p(-3). Round f to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5805 + 19011. What are the prime factors of z?\nAnswer: 2, 3, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(171) + sqrt(228)\/(sqrt(36)\/sqrt(3)))**2.\nAnswer: -16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 - 20 - (5 + -2 - (-4 + 8))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -541 - -548.4. Let p = a - 7.398776. What is p rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**6\/6 + y**5\/20 - 9*y**4\/2 - 79*y**3\/6 - 13*y**2\/2 + y + 1820. What is the second derivative of h(d) wrt d?\nAnswer: -60*d**2 + 6*d - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5411876.75232 + -3251265.753. Let i = -2160651 + l. Let p = i + 40. Round p to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 + 121. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + 2 + 5 - (sqrt(1872) - (sqrt(1872) + -2 + 5) - sqrt(1872)))*2)**2*1.\nAnswer: 1920*sqrt(13) + 30352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 15 = 165. Let k = 2 + 4. What is the greatest common factor of k and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/8 + 10\/40. Let i(r) = 0*r**2 - 21*r + 2 - 9 + 5*r**2 - a. Let h(v) = 3*v**2 - 11*v - 6. Let z(w) = 7*h(w) - 4*i(w). What is z(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 3*b + 3. Let f be (3 - 21\/6)*4. Let g be (-28)\/(-12) + f\/(-3). What is z(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 4. Let m be t(2). Suppose -4*y = 3*f - 62, m*y + 4*f = 5*y - 59. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 4*s = -12, -3*s + 7 = 3*m - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d - 7. Calculate the least common multiple of 16\/10*85\/34 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 340*m + 5938. Give b(-18).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/13))**(-13)*(n*n*n\/(n*n**(-13))*n)\/(n\/n**(17\/3)) assuming n is positive.\nAnswer: n**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -10 + 16 - 2*b - 5. Let x(d) = 3*d + 1. Let q(i) = 13*i + 5. Let y(j) = 2*q(j) - 9*x(j). What is 4*p(n) - 5*y(n)?\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 3*r**3 + r**3 + (r**2 + 3 - 3)*(2 - 2 - 3*r) + 2*r**2 - 2*r**2 - r**3 + 2*r**3 + 0*r + 0*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - ((-6)\/27 - ((-954)\/(-81) - 4\/2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 68 = 8*h, -4*p - 1323*h = -2*p - 4*p - 1325*h + 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 5*x**2 - 3*x - 1. Let r be i(-5). Suppose 5*z + r + 206 = 5*u, -4*z = -3*u + 137. Calculate the highest common divisor of 26 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/170 (b) 5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgmhghmhmhghmg. Give prob of picking 1 g and 1 h.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -43*i**2. Let r(p) be the third derivative of 11*p**4\/24 - p**2 - 14*p. Determine v(r(d)).\nAnswer: -5203*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13631 is divided by 13550?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4542, 10 in ascending order.\nAnswer: -4542, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 + u + 1. Let q be y(-1). Let b(c) = c**3 + 3*c**2 + 4*c + 2. Let z be b(q). Let n(o) = -3*o - 1. List the prime factors of n(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 10 - -19 - ((-12 - -7) + -11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -67*o**3 + 5*o**2 - 1. Suppose 11*l = c + 13*l + 1, -13 = c - 4*l. Is f(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 12:49 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 = -4*x. Let z be (14\/x + 2)*-15. Solve 3 = g + z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45452 - 13421?\nAnswer: -58873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10705717 and 3436.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4198415362.\nAnswer: 2, 587, 3576163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(75) + (-1*sqrt(75) + 5)**2.\nAnswer: -40*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n**3 + 2*n**2 + 10 + 3*n**3 - 2*n - 4 to the form i + z*n + q*n**3 + f*n**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 3*z - 1. Suppose d + 0*d = s + 12, -s - 19 = -2*d. Suppose 2*r + d + 1 = 0. What is u(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9013944 rounded to 1 dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-747)\/(-3) - 4)*(0 + 1). Let r = n - 168. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3240280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1987067977 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -439, -1757, -3951, -7021?\n\"Answer: -438*z**2 - 4*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 3*d - 3*d)*(-4 + d**2 + 4) - 5 + 15 + 3*d**3 - 11.\nAnswer: 5*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 + 9*s**2 - 3*s + 45. Let z be t(5). Suppose 0 = -2*i - 3*q - 2*q + 1, 0 = 5*i - 5*q - 20. Solve z - i = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u*u**0*u)**(-9)\/((u**(3\/4)\/u)\/u**6*(u*u**(-4\/3)*u)\/(u*u**(-1\/3))) assuming u is positive.\nAnswer: u**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 679482, 1358948, 2038412, 2717874?\nAnswer: 3397334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.4 and -420?\nAnswer: 414.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*22\/14 - (0 - -2 - -1). Which is the nearest to 3? (a) -1\/4 (b) v (c) 3\/7 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(((sqrt(475) + (1*sqrt(475) - sqrt(475)))*-2)**2 + (-1 + sqrt(475))*-5)*-5*-3.\nAnswer: -1125*sqrt(19) + 85730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16573317 and 18768?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1905 - 1929. Which is the smallest value? (a) 4 (b) n (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 3. Let x = 1.5 + c. Let p = -2\/262233 + 786713\/1835631. What is the second smallest value in x, 1, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - a - 11 = -8*h, 15 = -5*h - 5*a. Let u(r) be the third derivative of 3*r**h + 0*r + 0*r**3 + 1\/12*r**4 + 0. Let q(x) = 4*x. Determine q(u(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i + 4*i - 2*i + 14*i - 4*i - 1572.\nAnswer: 32*i - 1572","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.125312448 and 2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 194024053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/6))**(-42))**(-18\/13) assuming n is positive.\nAnswer: n**(630\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**3 - w - 2. Let o be 2\/(-11) - (-120)\/55. Let q be p(o). Let h = -10 + q. Solve g + 2*s + 4 = -g, -4*g - h = -s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -h - 2*h. Let a(b) = -b**2 + 12*b - 9. Let g be a(h). Suppose g*u + 12 - 38 = 0. Calculate the remainder when 24 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.06 - 80.94. Let f = m - -42. What is the third biggest value in 1\/2, -4, f, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855854.\nAnswer: 2, 59, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-2*h - 2*h - h) + (3 + 1 - 6)*(2 + 2*h - 2).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 3 - 21 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -70012*x**2 - 89976*x**3 + 42768*x - 90080*x**2 - 53294*x**2 + 47930*x**2 - 15402*x**4 - 867*x**5 - 2592 = 0?\nAnswer: -6, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2821 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**3 - q - 1. Let y be c(-1). Solve -2*h + h - y*s = 13, 2*s + 2 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42621.73 to the nearest 100.\nAnswer: 42600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3124 + 34?\nAnswer: -3040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from {c: 1, p: 2, z: 8, h: 4, w: 4, y: 1}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**3 - 29*q**2 + 125*q + 878. Determine h(-8).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46730 or -122\/25?\nAnswer: -122\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 3, x: 1, c: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 2:38 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53568857?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13168.7457 * -0.2.\nAnswer: -2633.74914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 10201011202?\nAnswer: -10201011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/4 + 27*v**4\/4 + 31*v**3\/4 - 79*v**2\/4 - 69*v\/2 - 14 = 0. Calculate v.\nAnswer: -1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -125607.819861 take away 22?\nAnswer: -125629.819861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (84\/(-49))\/(4\/(-14)). Find the first derivative of -8 + f + 0*g**3 + 1 - 2*g**3 wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 15 + 408*n**2 - 205*n**2 + 4 - 201*n**2 in the form r*n**2 + i + t*n and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 81405342 or 81405341?\nAnswer: 81405342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/258963 and -62\/3.\nAnswer: 258963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*x = -4*f + 8, 3*x = 2*f + 2. Calculate the highest common factor of f and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 45. Let y(b) be the first derivative of -b**2\/2 - 2100. What is y(l(a))?\nAnswer: -4*a**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4228 - -10083. Suppose -v + 1169 = -6*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**5\/10 - f**4\/6 + 5*f**3\/3 - 3*f**2 - 24*f + 22. Let n(j) be the first derivative of c(j). Let n(u) = 0. Calculate u.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z**3 + 11*z**2 + 15*z + 4. Let o(t) = -4*t**3 - 5*t**2 - 8*t - 2. Let a(k) = -5*o(k) - 3*s(k). Is a(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 103*c**2 - 2. Let g(u) = 48615*u**2 - 945. Give -2*g(o) + 945*n(o).\nAnswer: 105*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 6:18 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -325 (base 12) in base 11?\nAnswer: -38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1016)\/381)\/(8\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 4*t - 5. Let i be z(5). Suppose 0 = -3*k - 3*f + 6, 10*k = 6*k + f + 8. Solve 4*o - 2 = -k*w, -3*w + 3 = o - i*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4360464 and 16980.\nAnswer: 21802320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -23*r**2 + 17*r**2 - 24*r**2. Let d(i) = 3*i. Calculate a(d(t)).\nAnswer: -270*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 2648553?\nAnswer: -2648550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 a when four letters picked without replacement from {a: 4, p: 1, b: 1, f: 7}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 10:02 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78*n**2 - 108*n**2 + 117 - 24*n**2 + 30*n**2 wrt n.\nAnswer: -360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/8, 0.12, 1, 0.03, -9\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + -124. Is 3 a factor of 5\/(-10)*1\/1*w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 4207*g**3 - 6*g - 4204*g**3.\nAnswer: 3*g**3 - 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**3 - 38. Let h(p) = -4*p**2. Give h(y(s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 6*o**2 - 3*o + 13. Let z be w(6). Let i be 2*-1*9\/2. Let n = i + 8. Put -3, z, n in ascending order.\nAnswer: z, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 10 (c) -5 (d) 1\/24 (e) 1\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 4, e: 2}. What is prob of picking 1 e and 1 o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**7\/126 + g**6\/45 - g**4\/18 + g**3\/18 - 11*g + 12. Let d(u) be the first derivative of j(u). Factor d(t).\nAnswer: -t*(t - 1)**3*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/13 - 8888*q**2\/13 + 9847850*q\/13 + 59407500\/13.\nAnswer: 2*(q - 2225)**2*(q + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**7\/315 + q**5\/60 - 7*q**4\/12 - 16*q. Let k(p) be the third derivative of z(p). Differentiate k(w) with respect to w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 14. Suppose -k - 3*k = -p. Solve -k*l - 2*l = -25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**5\/60 - s**4\/24 + s**2 + 10. Let r = 2 - -4. Suppose -5*h = 4*c - r, c + 5*h = -3 - 3. Determine y(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.9 (b) 5 (c) -0.12 (d) -3\/74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22415266543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 + (5 - (-14 - -19)) + -23?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:24 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -17*v**3 + 7*v**2 + 7*v - 1. Let i(r) = 18*r**3 - 6*r**2 - 6*r + 1. Give -7*i(f) - 6*o(f).\nAnswer: -24*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1984 + 614 = 274*h. Sort -4, h, 0.4, -2, 26 in decreasing order.\nAnswer: 26, 0.4, -2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 473, 668, 863, 1058, 1253?\nAnswer: 1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(4\/21)*(p\/((p**17*p)\/p)*p)\/p assuming p is positive.\nAnswer: p**(-332\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2013185 or 2013186?\nAnswer: 2013186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3698637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b - 3*b**2 + 15*b + 11 - 6*b as s*b + g + z*b**2 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8386754 millennia in months?\nAnswer: 10064.1048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*q**3 - 49*q**3 + 16*q**3 - 20*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -60100 divided by 2?\nAnswer: -30050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 11:27 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 26 = -2*o, u = -5*o + 6*u + 60. Suppose -5*p - x - 311 = 0, 0 = x - 2 + 3. Let w = -9 - p. Calculate the remainder when w is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*o + 15 = 0. Let y be (o + 2)*1*-3. Find the second derivative of 7*r - 2*r - y*r + 3*r**5 wrt r.\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 2*v**3\/33 - 2*v**2\/11 + 2*v\/11 - 53. Factor w(c).\nAnswer: 2*(c - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.147, -11, 0.3, 3, 0.5, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6450845\/5237586 - -4\/63873. What is the common denominator of o and -149\/120?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -638*r**4 + 4879*r - 33358011 wrt r.\nAnswer: -2552*r**3 + 4879","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 - 8*h + 2. Calculate d(-4).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 7*u**2 + u + 4. Let k be f(-7). Let g be 0\/4 - (-1)\/k. Which is the smallest value? (a) -3 (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from {q: 3, o: 7}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*x**2 + 3*x**3 - 7*x**3 - 240*x**2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6.05 times 0.02653\nAnswer: 0.1605065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -48928 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173567 >= 1173575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j + 24 - 128 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 12:54 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/7, -2\/3, -11, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30486 + 14156. Round h to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 5*r + 4. Suppose 5 - 25 = 4*d. Let q be k(d). Suppose 0 = 43*u - 1392 - 156. What is the greatest common factor of u and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22004\/5 + -4401. Sort -1, 1\/3, -2, 0.3, q in descending order.\nAnswer: 1\/3, 0.3, q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/(-297) - (-1460)\/(-18). Which is smaller: -83 or b?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4569 - 4568.853. Let d(c) = -c**2 + 1. Let v be d(0). Is v != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a**2 + 3*a**2 - a**2)*(-2976 - 2*a + 142 - 123) to the form i*a**2 + y*a**3 + x*a + q and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 206\/(-5) + 8\/(-10). Let l = v + 60. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*p + 3 + 7, 3*w + 2*p = 16. Suppose -w*i - g = 22, 3*i + 36 = -2*i + 3*g. Let a(b) = b**3 + 5*b**2 - 7*b + 11. Determine a(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {s: 15, c: 3}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 23. Calculate the highest common divisor of 27 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 371 + -370.572. Round i to two dps.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (7 + 5 - 31).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 910 + -912. Let g = 0.8 + 3.2. Let f = 7 - g. Sort n, -0.3, f.\nAnswer: n, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/582 and -101\/3104.\nAnswer: 9312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -1722, -4, -413, -2, 5 in increasing order.\nAnswer: -1722, -413, -5, -4, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4 + 2. Let j be (-1)\/t - (-18)\/3. Is (1*5)\/(j\/185) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24, -12, 0?\n\"Answer: 12*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 2) + (2 - -3) - (1 + 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Suppose -4*i - 2*g + 49 = g, -3*i + 36 = p*g. Suppose 22 = 4*q - i. Calculate the highest common divisor of q and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 89715753 and 54?\nAnswer: 538294518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 419\/44 + -102\/11. Factor -p*h**2 + 1\/2 + 1\/4*h.\nAnswer: -(h - 2)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467920576 to the power of 1\/2, to the nearest integer?\nAnswer: 38313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -1\/291728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230 - -2313013?\nAnswer: 2312123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 8, 119\/3, 0.3, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 5*b. Let c be n(6). Let q = c - 6. Let w be (-50)\/(-6) + (-1)\/3. Solve -w = -q*k + 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656330649?\nAnswer: 3, 13, 16828991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -2*q - 12, -8 = -5*q - 14*j + 21*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 33277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71315*x + 71314*x = -k - 4, 5*k = 4*x - 2 - 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 4*g**2 + 2*g + 3. Let t be q(3). Let h(x) = -x**3 - x**2 - 1. Let p be h(-2). Let r = p + -5. Put 4, r, t in decreasing order.\nAnswer: 4, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y\/y**(2\/17))*y*y)*y**(-9\/5) assuming y is positive.\nAnswer: y**(-248\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 826\/(-22) + (348\/203)\/((-176)\/(-56))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**3 - k**2 + k + 2. Let i(o) = -15*o**3 + 2*o**2 - 3*o - 4. Give -5*h(w) - 2*i(w).\nAnswer: -5*w**3 + w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2. Suppose 23*o - 24*o + 1 = -2*l, -2 = -l - 2*o. Let y(z) be the second derivative of -1\/3*z**3 - 25*z + 0*z**2 + l. Give n(y(c)).\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*l - 4. Suppose -3*h - j = 2*h - 127, -l*j = h - 29. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 33711\/13682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -26*t + 27*t. Sort 0.4, 0.3, -1\/2, t in descending order.\nAnswer: t, 0.4, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 1337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*a + 3*a - 3*a**4 - 36*a**2 - 7*a**3 + 3*a**3 - 14*a**3.\nAnswer: -3*a*(a + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 154\/(-44)*(-8)\/7. Let s(w) = 2693*w**2 + 30*w - 139. Is s(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124985061 is divided by 1351?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 59, -12.\nAnswer: -12, -2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.899578 decades in centuries?\nAnswer: 0.2899578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641 a factor of 13300305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5160917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-3)\/6)\/((-1452)\/(-3388)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*w**4 - 2*w**5 - 9*w**4 + (12*w**2 + 3*w**4 - 12*w**2)*(0*w - 2*w + 3*w).\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9213780?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 12:27 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 343*c**2 - 87*c - 259. What is the hundreds digit of b(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/341, -3\/70, 1.96 in increasing order.\nAnswer: -3\/70, -4\/341, 1.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 987*v + 344. Let x(l) = 138*l + 6 + 63 - 116*l + 175*l. Let a(w) = -2*h(w) + 11*x(w). What is the derivative of a(z) wrt z?\nAnswer: 193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-1 + -9 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -260, -208, -156, -104?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -410.4688 to 1 decimal place.\nAnswer: -410.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(65)*4)\/(sqrt(5)*4*-3).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(1\/3))\/w*w)\/w)**(-7)*(w\/(w*w**(2\/7)))**(-3\/7))\/((w\/((w**(-1\/8)\/w*w*w)\/w))\/(w*((w**3*w)\/w)\/w*w))**(-33) assuming w is positive.\nAnswer: w**(-114173\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 3. Let c be t(-2). Let s(m) be the third derivative of m**5\/60 - m**3\/6 - 40*m**2. Determine s(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -28302*a - 311319. Give z(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6 + l**3 + 10*l**2 + 5*l**2 - 9*l**2 + l. Let g be b(-6). Put -2, -5, g in increasing order.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -27. Suppose 16*i - t*i - 24 = 0. Solve 0 = i*j + j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 218660468 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmpzzb. What is prob of picking 1 b and 1 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*g + 196*g - 16 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -29*u + 46*u - 15*u - 16*u. Let l(i) be the first derivative of -i**3\/3 + 46. Calculate l(p(s)).\nAnswer: -196*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e + -331f?\nAnswer: -3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -2 - (-9 + 1 + 3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 5*j. Let n be y(-4). Suppose 6 = -b + 2*k, -7*k + 8*k = -3*b + 17. Calculate the greatest common factor of n and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 d when three letters picked without replacement from fndadfffdxd?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 20*y - 56870 = 18695. List the prime factors of y.\nAnswer: 5, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.022 - 2.1.\nAnswer: -2.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - w**2 + w - 17. Calculate k(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkuyuyyy. What is prob of picking 1 u and 2 y?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222706 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 688 a factor of 19594258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 16*o - 23 = -3*c, -2*o + c - 10 = 0. Let p(u) = -3*u - 20. What is p(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2073*i**4\/2 - 6210*i**3 - 22695*i**2\/2 - 6120*i + 54 = 0?\nAnswer: -3, -2, -1, 6\/691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**5 + 77*d**4 + 478*d**3 + 2061. What is the third derivative of r(h) wrt h?\nAnswer: 120*h + 1848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2666 - 1355. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 181*p + 1377. Let q be l(7). Let z(k) = 109*k + 5. Let c(t) = 273*t + 12. What is q*z(j) - 5*c(j)?\nAnswer: -57*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 + 5 - 631)*(-2)\/(-16). Let h = 79 + u. Put 6, h, 1\/5 in increasing order.\nAnswer: h, 1\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25968685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 25. Suppose t = -0*f - 2*f + a, -t + 4*f + 4 = 0. Solve -4*u = -5*g - 6, -t*g - 7 = -2*u + u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edxe when four letters picked without replacement from {e: 4, x: 1, h: 2, d: 1, w: 7}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14830, -0.3, -1\/3, 242.\nAnswer: -14830, -1\/3, -0.3, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 388503 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49819407?\nAnswer: 3, 11, 139, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32 and -59\/340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61288 - 61293. Let u be (3\/3)\/(1*-1). Sort -4, 9, u, j in decreasing order.\nAnswer: 9, u, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990126353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11 + (-55862)\/(-3) - 2\/(-6).\nAnswer: 2, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -3*u - 6*f + 1, 2*u - 3*f + 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(325) + 2 + -5)**2.\nAnswer: -50*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -159 - -61) + 36\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 23*h**7\/14 + h**6\/15 + 151*h**3\/3 + 8*h - 1. What is the second derivative of q(f) wrt f?\nAnswer: 1380*f**3 + 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-5)))\/x**(-1)*x**(-2)*x*x*(x\/((x*x**3)\/x))\/x*x assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 927 and 21300?\nAnswer: 6581700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r = -52*r. Suppose r = -4*n + 2*n - 3*n. Let c(x) = -x**2 + 4*x + 2. Let l be c(5). Put l, -5, -4, n in ascending order.\nAnswer: -5, -4, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -17, 0, -2\/37, 3, 5?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 = s. Let m be (s - 1) + -2 + 37. Suppose -2*c - m = -4*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1679 = 8*b - 6*b, 3*b = 3*j - 2517. Round b to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -199, 749, 2835, 6059, 10421, 15921?\n\"Answer: 569*y**2 - 759*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 1454\nAnswer: -436.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/(7\/(-14) - 0). What is the tens digit of (a - (-24)\/21) + (-7640)\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4205 divided by -5.\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(48)\/(sqrt(16)\/sqrt(2))))\/((-2*sqrt(70)*-3)\/sqrt(7)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 15*w**2 - 4*w - 45. Let z be l(-15). Suppose 9*s = z*s - 252. What is the greatest common factor of s and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -35. Let g = -23 - -34. What is the tens digit of (-4)\/k + 1*g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 4064851465?\nAnswer: 4064851465.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1008*j**5 - 25*j**3 + 2*j + 35977?\nAnswer: -20160*j**3 - 150*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, b: 7, v: 2, e: 2, k: 2, n: 1}. Give prob of picking 1 r, 1 n, and 1 e.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-28)\/(l**(-2\/15)*l**(-2\/7)) assuming l is positive.\nAnswer: l**(-2896\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3228 and 49256052.\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -383\nAnswer: -344.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2648 + -2630. What is the remainder when 70 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = 5*i - 43617. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 56 = 14*v - j + 6*j, 3*v + 15 = 3*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-13)*v)\/v**(-10))\/((v*v\/(v\/v**(-16)))\/v**(2\/29)) assuming v is positive.\nAnswer: v**(379\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfqv when four letters picked without replacement from qffqqzfqvfq.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 122 + -117 + (2 - 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5*v + 16 - 2*v - 9.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8379 = 3*b, 20*b = -5*m + 24*b + 10473. Is 30 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-16) + 326\/8. Suppose -108*p + 10 + 206 = 0. Sort 5, i, p in decreasing order.\nAnswer: i, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(2\/2))\/(1850\/925).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 167, 314, 461, 608, 755?\n\"Answer: 147*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 237055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472500214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -30 + 25 + -57 - 42.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163 - 38. Let k = -124.99949 + q. What is k rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44377\/10 - 4434. What is the common denominator of 25\/44 and a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -37, -518, -5.\nAnswer: -518, -37, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/3784 and -163\/5676?\nAnswer: 11352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a factor of 1213709347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - z + 4*z)*(4*z - 3*z - 5*z)*(1 - 1 - 3*z).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**4 + 354300*p**3 - 10981496*p**2 + 20900100*p - 10272902 = 0?\nAnswer: 1, 29, 177119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0 - 1 + 2 - 2 + (2 - 4 + 3)*(1 + 1 - 3) - 6 + 0 + 1)*(48 + 30*n - 48).\nAnswer: -240*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 117, -38, -307, -696, -1211, -1858?\n\"Answer: -z**3 - 51*z**2 + 5*z + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*m - 5*b + 89, -b = m - 22. Solve -m = 3*p - 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 3)*(-j**3 + j**3 - 2*j**3) - 80*j**2 + 17*j**3 + 80*j**2 + j + 3*j**3 - j as t*j + f*j**3 + y + r*j**2 and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 + 2*u**4 - 3*u**4)*(-3*u - u + 5*u)*(84 + 126 + 40).\nAnswer: 500*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*m = -1168 - 612 - 652 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -3) + -3 - (8 + -2 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*a + 2078 = 0, 36*k = 34*k - 3*a + 4131. Is 35 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 11 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/27576 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 28860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*n + 74*n - 22*n**2 + (0*n - 7*n + 0*n)*(3 - 3 - n) in the form z*n**2 + p + v*n and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10852 + 17913. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5*l = 14, 0 = 3*l + 150718 - 150706 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 4 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6763223 to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y + 4. Suppose 4*l - 28 = -y*f, -3*l + 41 = -3*f - 4. Let n(p) = 4*p**2 - 2*p. What is the remainder when n(-3) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.2 in 2\/3, 12, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4 + 6 - 8*g - 2*g - 13*g - 2. Let s = 0 - 5. Does 6 divide u(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s - 46. Let o be q(5). Find the second derivative of 24*n + 32*n**o + 47*n**4 - 1 - 44*n**4 + 34*n wrt n.\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) - (sqrt(475) + 2))) + (1*sqrt(304))**2.\nAnswer: 5*sqrt(19) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0485746539 rounded to three dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847)*2*1 - (sqrt(847) + (sqrt(847) + (sqrt(847) - -1*sqrt(847))*-4 - sqrt(847)) + sqrt(847))) + -5 + (-2*sqrt(847) - sqrt(847))*-1)**2*-5.\nAnswer: -512560 + 6050*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2471 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -k + 2 + 15, 5*u + k = -23 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 61.056. Let y = z - -7.056. Let r be (-4 + 2)*1\/(-2). Which is the second biggest value? (a) 0.1 (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 0*i - 3*i + 1 + 3*i.\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 12 = 4*c. Suppose l + 3 - c = 0. What is the least common multiple of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1377) + (sqrt(1377) - 3*sqrt(1377)))*-3 - ((sqrt(68)*-2)**2 - sqrt(119)\/sqrt(7)*-1).\nAnswer: -272 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -548, -1096, -1642, -2186, -2728, -3268, -3806?\nAnswer: -4342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 9*h**2 - h + 12. Let u be j(9). Suppose -4*a + 7*a + 2*i = 44, u*i = 4*a - 70. Solve 5*w + a = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 19*v**3 - 1533*v**2 + 1035*v + 345. Give x(80).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 35\/14*45\/(-18)*(-32)\/(-100)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.1 (b) 6 (c) 29.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9585791?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2689, 6, 5, -4, 4, 2, -3 in decreasing order.\nAnswer: 6, 5, 4, 2, -3, -4, -2689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/925 and -2\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -583250.8 rounded to the nearest one hundred?\nAnswer: -583300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 64, 106, 146, 184?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2761 take away -260.588058932?\nAnswer: -2500.411941068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4880387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/55499 + -2164342\/6604381. What is the common denominator of q and 71\/51?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*h + 60 = 5*q - 248*h, -5*h - 24 = -2*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r = -104. Suppose -206 = 10*b - 386. Calculate the remainder when r is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5)*(-2*w - w + 2*w)*(-50 + 168 + 178 + 113).\nAnswer: 2045*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**3\/3 + 2*m**2 - 3*m - 2. Let z(o) = 102*o - 608. Let s be z(6). What is n(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.693959 rounded to 0 decimal places?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-492)\/14)\/((-3)\/14) is divided by 150.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**2 + 18*g - 18*g + 147*g**2 + 2281 - 2281 + (g + 0*g - 3*g)*(-2*g + 6*g - 3*g) to the form l*g + u*g**2 + k and give u.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 414 by 797.\nAnswer: 414\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 19 = -4*x - 4*j, -4*j = -4*x + 4. Suppose -4*q - 2*s + 2 = 0, -4*s = q - x*q + 26. Suppose -q*r + 604 = r. What are the prime factors of r?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k - 36 = 0. Let j be (-3)\/k - (-10)\/6. Find g, given that -2*g - 4 + 0*g - 2*g**j - 2*g - 2*g = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 325121, 325167, 325213, 325259, 325305?\nAnswer: 325351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10*h + 7. Let f = 85 + -79. Let p(w) = 11*w + 8. What is f*p(c) - 7*i(c)?\nAnswer: -4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0554 - 0.05540526. Round q to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -14. Let z(l) be the first derivative of l**4\/4 - l**3\/3 - l**2\/2 + 1. Let n(d) = 4*d**3 - 8*d**2 - 6*d. Calculate m*z(x) - n(x).\nAnswer: 2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 11:33 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 6241880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675759 is divided by 2245.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6245.1 years to millennia.\nAnswer: 6.2451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/75*85\/(-561)*3?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 249 and 29714?\nAnswer: 89142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -3040b?\nAnswer: -3040e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q**3\/3 - 158*q**2 + 11790*q - 45136\/3 = 0. Calculate q.\nAnswer: -56, 13\/10, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**2 - 7154354*b - 16693460.\nAnswer: -2*(b + 1192390)*(3*b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -j, 5*a - a - 28 = -4*j. Let f be 3\/(-3)*a\/16. Suppose t - 2*t + 1 = 0. Which is greater: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-9) - -6)\/(287\/369)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from vskkvvvj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 407, 1861, 4269, 7625, 11923, 17157?\nAnswer: 23321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/5))**(-45)\/((n*n*n*n**(2\/7))\/(n\/(n*n**(12\/5)))))**(-36))**(-28) assuming n is positive.\nAnswer: n**(62064\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1338?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w - 4. Let z be r(5). Let k = z - 10. Suppose k*l - 114 = 9*l. List the prime factors of l.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -22*b**3 - 3*b**2 - 16*b + 328. Let m(j) = -26*j**3 - 4*j**2 - 19*j + 328. Determine 5*m(k) - 6*x(k).\nAnswer: 2*k**3 - 2*k**2 + k - 328","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -92, -100?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 3*t**5\/10 + 7*t**4\/4 + 61*t**3\/18 + 7*t**2\/3 + 2*t\/3 - 1. Factor q(j).\nAnswer: (j + 2)**2*(3*j + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - 132. Let x = a - -230. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/5787549 and -23\/8359793?\nAnswer: 75238137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**8\/840 - k**5\/30 - k**3\/2 - 3*k. Let l(w) be the second derivative of p(w). Find the second derivative of l(g) wrt g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.126869 and -7.7.\nAnswer: -7.573131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = -6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2962\nAnswer: 2\/1481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.5 (b) 4 (c) 1\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 2)\/(-1)*2\/(-1). Suppose -43 = -o*y + 87. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.7283 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1*(-60)\/(-2))\/((-76)\/(-38)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 7. Let o be d(-9). Suppose f - 3*f = -m - 35, 0 = f - 3*m - o. Suppose -f = -h - 3*a, 82 = 4*h + 2*a + a. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**4\/8 - n**3\/6 - 3764*n**2. Suppose z - 30 = 6*z. Determine r(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17b6 - 3?\nAnswer: -17b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102431731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 - 2*i - 327 + 327 + 2*i**3)*((-2 + 0 + 4)*(-1 + 2 - 2) + 0 + 0 - 2 + 3 + 12 + 18).\nAnswer: 58*i**3 - 145*i**2 - 58*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v + 0*v)*(2*v - 5*v + 0*v) + (-2 + 4 - 1)*(4 - 2 + 0)*(-v + v - v**2).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -30.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k + 13. Let s be o(-4). Suppose -5*h = 2*z + 25, -3*z - s = 2*z + 5*h. Let g(x) = x**2 + x - 16. Calculate g(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 8*t**2 - t + 51. What is k(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2002575 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from uomorrx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/24 - (-1 + (-27)\/12). Suppose 2*q = -3*r + 156, -m*q - 5*r + 2*r + 300 = 0. Calculate the greatest common factor of 120 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 6*j + 5. Let v(t) = -4*t**2 - 19*t - 15. Let m(w) = -2*v(w) - 7*z(w). Factor m(k).\nAnswer: (k - 5)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22057202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 1 = 243*m - 244*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 5*i - 8*i + 4*i. Let t(h) = -80*h. What is t(k(n))?\nAnswer: -160*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/3569853?\nAnswer: 2\/3569853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (83 + (1 - 37) - (-2 - 6))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 893*y**2 - 895*y**2 - 860*y**3 in the form n*y**3 + b*y + l*y**2 + u and give n.\nAnswer: -860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-28))\/(36\/(-72))*1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3457 times -0.077\nAnswer: -0.0266189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6)\/x**10)\/(x**(-9)\/x**(1\/5)) assuming x is positive.\nAnswer: x**(-29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/12 - (-124932)\/2088. Solve 0 = 37*d + 282 - t for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.876195 to one dp.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is b03 (base 14) in base 8?\nAnswer: 4157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -935857 = 226*j - 953033 for j.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyyy. What is prob of picking 3 y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 12:14 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/11? (a) 1 (b) -6 (c) -11 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4.763 times 0.6\nAnswer: 2.8578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 28, 4 in decreasing order.\nAnswer: 28, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.648 - 0.68. Let c = -0.168 + f. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = 5*s + q + 205, 10*s + 148 = 4*q for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 18 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -10. Let h = 48 - m. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 - 50 = 32*w. Suppose -4*t - 12 = h + 14, 4*h - w*t = -47. Let j(n) = -n**2 - 13*n + 13. Give j(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**2 + 9*k**2 + 7*k**2 - 2*k**2 + 1.\nAnswer: -5*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 k when three letters picked without replacement from {k: 3, c: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-8)*(212\/196 + -1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 0*t**2 + 7*t - 3 - 23*t - 7 - t**2. Let d be f(-15). Is d less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-5 - -1) + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2)*(116*v**3 + 14*v**3 - 6*v**3) as h*v + b + x*v**2 + q*v**3 and give q.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 s when four letters picked without replacement from {f: 4, s: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.189 and -5910?\nAnswer: 1116.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 539 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2. Let r(h) = 3*h - 7 + 8*h - 12 - 12*h. Let f(u) = -3*u - 57. Let d(k) = 3*f(k) - 8*r(k). Calculate d(j(c)).\nAnswer: -c**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrwr when four letters picked without replacement from wrwrwwwwwwrrrwww.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 541 = -43*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**4 - 3*i**4 + 2*i**4)*(-2*i + i + 0*i) + (7*i**3 - 6*i**3 - 7*i**3)*(0*i**2 + 5*i**2 + 0*i**2).\nAnswer: -28*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19221, -19247, -19263, -19263, -19241, -19191, -19107, -18983?\nAnswer: -18813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2)*(0*s**3 + 3*s**3 - 2*s**3)*(-4 + 1 + 0) in the form a*s + d*s**2 + y*s**3 + q and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 + 161 = 27*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -218.293808 + 218.4. Let c = y + -0.106. What is c rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 56.26022 litres?\nAnswer: 56260.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3019*d**3 + 16*d**2 + 25*d + 9. Is q(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -1475*x**4\/24 - 75*x**2. Let y(a) = 2*a. Determine u(y(w)).\nAnswer: -2950*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -711.36 or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 2272826?\nAnswer: -2272825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-11)*(-11 + 9). Let b = -0.44 + 0.4. Let p = b - -1.04. What is the second biggest value in 0.5, y, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2191, 2125, 1937, 1567, 955?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -83856.53 rounded to the nearest 100?\nAnswer: -83900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuuv when four letters picked without replacement from vwfuuvvuuvwwfuwufwu.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10267?\nAnswer: 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 5. Calculate w(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, y: 2, t: 2, p: 1}. Give prob of sequence yytl.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 799, 814, 819, 808, 775, 714, 619?\n\"Answer: -s**3 + s**2 + 19*s + 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1045 and 2205.\nAnswer: 460845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10011010?\nAnswer: 10010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - (-2 + sqrt(112) + 2) - sqrt(112))**2 + 0 + (sqrt(42)\/(sqrt(6)\/sqrt(3)) + sqrt(21))\/(sqrt(192) - sqrt(3)).\nAnswer: 2*sqrt(7)\/7 + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21444, -42887, -64330, -85773, -107216?\n\"Answer: -21443*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 6:10 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(20)\/sqrt(2) + sqrt(10)) - ((sqrt(448)*1)**2 - sqrt(7)).\nAnswer: -448 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101122 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 393*m + 1171. Determine k(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from bbbhbhbbbbbbbbbbbbb.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*r**5 - 6*d**2*r + 21*d*r - 696*r**5 - 3*r wrt r.\nAnswer: 40*d**2*r**3 - 13920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32979570?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7961 + 4017. Suppose 4668 - s = 5*u. Find the common denominator of ((-3)\/5)\/3 - u\/60 and -23\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4449145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-1)*((-5)\/12)\/(1400\/2240)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, r: 4}. Give prob of sequence rnnr.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158323, -157875, -156651, -154261, -150315, -144423, -136195?\nAnswer: -125241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -15, 5*i = 10*i - 4*j - 190. Suppose -z - i = -15*z. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8269 + -22970\/3. Let q = j + -613. Which is greater: 2\/9 or q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22440347 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42052319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3549 and 1911?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 221210211211 (base 3) in base 14?\nAnswer: d31ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44500680 divided by 70.\nAnswer: 635724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 25 = -3*g. Let w = g - 7. Let j = 1.8 - 1.9. Which is the biggest value? (a) w (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49234 bigger than 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, q: 1, i: 1, h: 2, r: 1, o: 1}. Give prob of picking 2 o and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - o - 15 = 115, 5*j + 2*o = 145. Let t = j - -36. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.078 + 8.078. Let x = -8.2 + o. Let i = -0.232 + 0.022. Do x and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 12 - (-1 + -8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6316 - -6548. What is the greatest common divisor of a and 1450?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1\/179497354 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/7))\/n**(-3))\/(n**(-4)*n\/(n\/((n**1\/n)\/n))*n) assuming n is positive.\nAnswer: n**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11601 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 1 - 0) + (-88 - -93)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/11 (b) 0.1069 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**3 + 365*g**2 + 270*g - 6506. Determine s(-72).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -527*z - 2343. What is w(-5)?\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, y: 2, d: 2}. What is prob of picking 1 k, 1 d, and 2 y?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60992 + -1 + -126 + 135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 3*l + 30, -3*l + 0*b = -2*b + 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 343 + -129. Let u be (-7)\/(-14)*(0 + t). Suppose 26 = -105*f + u*f. Calculate the greatest common factor of f and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 298 - 3876\/13. Let s be (-939)\/21 - (-26)\/(-91). Let d be 2 - (-34)\/(-6)*s\/(-105). Which is the closest to -0.1? (a) d (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, t: 1, w: 1, c: 8, b: 5}. Give prob of sequence wbm.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112221 (base 3) to base 14.\nAnswer: -5ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -13*d + 5*d**2 + 20*d - 6*d + d**2. Let b be f(-1). Suppose -y + b = l, -4*y + 27 = 3*l + 4. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 9:28 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w + 6*w - 5*w)*(-1 + 4 - 4)*(-10 - 70988*w**3 + 70989*w**3 + w + 2*w).\nAnswer: -8*w**4 - 24*w**2 + 80*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*(sqrt(5) + sqrt(80) + 3)**2*-5*2.\nAnswer: 900*sqrt(5) + 4020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -144443 (base 5) in base 9?\nAnswer: -8512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 123*c - 176324 - 259342. What is the highest common divisor of c and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 33*z**3 - 2*z**3 + 2 + 5*z**3 as u*z + b*z**2 + m + o*z**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/421022 and -13\/53048772.\nAnswer: 53048772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1167125 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*(sqrt(119) + -2*sqrt(119)) - sqrt(119)*1*1))\/(-3*sqrt(70)\/(sqrt(80)\/(-2*sqrt(8)))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let j(k) = -4*k**2 + 10*k + 10. Let m(i) = -i**2 + 3*i + 3. Let q(o) = -3*j(o) + 10*m(o). Give n(q(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172996 is divided by 901.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 36. Let z be 4*1 + (1 - 2). Suppose 5*t - 6*t = 5*d + 17, -3*d - 3 = -3*t. Sort y, z, d.\nAnswer: d, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(891)*-1*4.\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -7.\nAnswer: -7, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-10827)\/(-4010))\/(6\/(-10))*28\/6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -4\/3*t**3 - 5*t - t**2 - 1\/4*t**4 + 3. Let x = 10 - 14. What is c(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5538370 to the nearest integer?\nAnswer: 2353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7376 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/37 (b) 275 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, e: 1, g: 1, u: 3, r: 2, x: 1}. What is prob of picking 1 i and 1 x?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36.559 and 27.\nAnswer: -9.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + (-10 - (7 - 72))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 233160 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*j**4 + 15*j**3 - 580*j**2 - 740*j - 240.\nAnswer: 5*(j - 4)*(j + 3)*(3*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -24*c - 100 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -7008.\nAnswer: 1\/1752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 589924854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 2*w**2 - 2*w - 4. Let x be d(4). What is the highest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 965 + -962. Suppose -15*f + t = 123. Which is bigger: f or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26589 - 4280813\/161. Let w = b - -1\/23. Which is smaller: -0.5 or w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534384 + -2.148.\nAnswer: 534381.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a gram in milligrams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -87.\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/3*(1 + -4). Let b be 49\/(-3) - 10\/(-30). Let j = -11 - b. Solve 4*v - i + 1 + u = 0, i = -j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33709a (base 11) to base 13\nAnswer: -15a275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84.534 - -85.7. Let l = 0.83 - o. Let h = l + 0.036. Which is the third smallest value? (a) 9 (b) 3\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 201680 = -7*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/15)\/((54\/(-45))\/(-3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8093 - -8104. What is the remainder when 38 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22094775 + -22094771.0000006. Let c = -4 + s. What is c rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a4a5 - 161a7?\nAnswer: -6802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.5 + -3. Suppose -17*k = 338 + 427. Let i be (2\/5)\/(-16*(-3)\/k). Sort 2, c, i in decreasing order.\nAnswer: 2, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2, 9 = 3*y - 3*z - 0*z. Let u(x) be the first derivative of y*x**2 + 2*x**5 + 6 + 2 - 4*x**5 - 3. What is the second derivative of u(m) wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-19)*l**(-21\/5) assuming l is positive.\nAnswer: l**(-111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 - 0.4. Let s = -10 - -21\/2. Which is greater: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-12)*s\/s**(-2\/49))**(-31))**(-2\/87) assuming s is positive.\nAnswer: s**(-11098\/1421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1621 + 2604. Let j = n + -137619\/140. Let k = j - 3\/20. Which is the closest to -1? (a) k (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85800\/(-420))\/26 + (-6)\/(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) 10 (c) 2\/11 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*w = 6, c - 6 = -2*c - w. Solve -15 = -c*t - 4*y, 0 = 4*t - 0*t + 4*y - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -87. Suppose 4*a - 627 = c - 2*c, 2*a = -q*c + 311. What are the prime factors of a?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1097736155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -150 - 49. Is 24 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and -79.2.\nAnswer: -7.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -721107576908 - -721108263034.859934. Let q = a - 686126. Let k = -0.86 + q. Round k to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0. Let l be (-102)\/22 - -5 - (-4)\/44*-37. What is the nearest to 0 in l, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92746644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -97*u - 89507. Let j(i) = -51*i. Give x(j(v)).\nAnswer: 4947*v - 89507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -41602412?\nAnswer: 124807236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 205, -160109 in increasing order.\nAnswer: -160109, -3, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-16)\/(-10)*(22\/(-14) + (-94248)\/1764)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a week in hours?\nAnswer: 868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -0.09.\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Let o be f(4). Let x(a) = a**3 + 3*a**2 - 4*a + 4. Let s be x(o). Find the third derivative of s*m**4 + 5*m**4 + m**4 + 5*m**2 wrt m.\nAnswer: 240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76930 and 19625.\nAnswer: 1923250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90727 = -227*c - 105482 for c.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/3 + 106*n\/3 - 5597 = 0. What is n?\nAnswer: -193, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/4 (b) -9 (c) 2 (d) -24698\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**8\/1680 + 11*f**7\/1050 - 9*f**6\/100 + 43*f**5\/150 - 59*f**4\/120 + f**3\/2 + 36*f**2. Solve t(k) = 0 for k.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (117*y - 149*y - 154*y - 1)*(-3*y + 6*y + 2*y) to h*y**2 + r + b*y and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11500*a + 887606 = -1179*a for a.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4050425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126*l**3*p**2 + 725*l**3 - 77*l*p**2 + 2*p wrt p.\nAnswer: 252*l**3 - 154*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3\/7 (b) 0.5 (c) -0.4 (d) -0.1 (e) -1\/16 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 7693.\nAnswer: -7693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -17, 2\/71, 0.5, -0.004, 2, 44\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -b + 6329, 0 = 81*b - 83*b - 4*l + 12658. List the prime factors of b.\nAnswer: 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2560131.\nAnswer: 3, 7, 40637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 at least 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 9. Calculate the common denominator of 37\/22 and x\/6 + -2 - 0.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-14 - (-23 - -6)) - 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 148*j**3\/3 + 67*j**2\/2 - 91*j. Is y(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(((j\/(j\/(j\/j**(-1\/8))))\/j)\/j)*j*j*j*j)\/j*j\/(j\/(j**6*j*j))*j)**(-6\/7) assuming j is positive.\nAnswer: j**(-333\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x**2 - 158*x - 984. List the prime factors of m(-70).\nAnswer: 2, 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from covoookgvkkkogckoc.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = y. Let j = -7433 + 7847. What is the greatest common factor of j and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -15*j**2 + 16*j - 204. Let o be g(10). Let s = -876 - o. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 38\/7887, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3 - 4*g**3 + 5*g**3 - 12 - 13*g**2 + 0*g**3 + 13*g - 2*g**3. Let x be r(-14). Sort 3, 4, -1, x in decreasing order.\nAnswer: x, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/928579 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 3*i**4\/8 - 7*i**3\/3 - 7*i**2. Let d(s) = 14*s - 21. Let h(r) = 5*d(r) - 8*u(r). Determine h(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5 + 2)*(-4*h + 0*h + 3*h)*(-1025*h**3 - 256*h**3 + 369*h**3) as f*h**3 + g*h**2 + k*h**4 + t + x*h and give k.\nAnswer: -3648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/1587 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765716770.\nAnswer: 2, 5, 7, 13, 841447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -489280, -11 in descending order.\nAnswer: -2\/7, -11, -489280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 767 - 773.01. Let x = -0.58 - -6.58. Let v = x + l. What is v rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011101110 (base 2) in base 13?\nAnswer: -761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -106 (c) 2\/19 (d) -5138 (e) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1116 and 9?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 16 = -l + 4, 3*k = 2*l + 15. Suppose k + 5 = 4*y. Let j be (-2)\/4 + 3 + -2. Which is smaller: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 9*x**2 - 3*x - 20. Let u be o(-9). Find the second derivative of -10*w**5 + u*w**3 - 5*w**3 - 2*w**3 - 33*w wrt w.\nAnswer: -200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -37*g + 1476. What is the lowest common multiple of 60 and g?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + (-3*sqrt(243))**2)*-6 + sqrt(243) + -1 + 6*(-2 + sqrt(243)*-1)**2.\nAnswer: -11641 + 171*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (19 + 46 + 16 - 0)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 4*r**2 + 12*r - 53. Calculate the remainder when 543 is divided by u(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 2*m**2 - 2*m + 0*m**2)*(3*m - 3*m + 2*m).\nAnswer: 4*m**3 - 4*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 > 16.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - 16) + 2*-9*(-4)\/72?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 215\/2138?\nAnswer: 215\/2138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than 22\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 7*r**4\/4 - 97*r**3\/3 + 492*r + 877. Differentiate d(o) with respect to o.\nAnswer: 21*o**2 - 194*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158.103*686\nAnswer: -108458.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1525 and 50749865?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 5 + a + 7)*(2*a**3 + 5*a - 5*a + (-2 - a**2 + 2)*(1 - 1 + a)).\nAnswer: -3*a**4 + 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 18*(-1 - (-12)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(-1 + 2 - 2*i - 8)*(-10*i**2 + 3*i**2 - 24*i**2).\nAnswer: 62*i**3 + 217*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a tonne in kilograms?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -11*f**2 + 38*f + 72. Let r(p) = -4*p**2 + 13*p + 24. Let y(i) = -3*o(i) + 8*r(i). Let m = -64 + 81. What are the prime factors of y(m)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-2)*20\/(-25). Let x(t) = -t**3 + 6*t**2 + 9*t - 7. Calculate the remainder when ((-52)\/6)\/(f\/(-6)) is divided by x(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12086716, 24173401, 36260086, 48346771, 60433456?\nAnswer: 72520141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 474580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 306*z**2 - 3533*z + 14574. What is a(317)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -3 (c) 22348\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 - 1 - 6*p to the form s*p + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 315 and 63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 16*m**2 + 17*m + 20. What are the prime factors of f(-10)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 43*q - 325. Let t be f(-33). Solve -2*g + 4 = 3*x - 3, -t*g + 27 = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**4 + 1 - 7*f**4 + 6*f**4 - 2*f**3 - 3*f in the form c*f + p*f**2 + v*f**3 + j*f**4 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*a**2 + 234*a**2 - 14*a**3 + 228*a**2.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 191 = -649. Solve -i*z = -119*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -846626.5 rounded to the nearest one thousand?\nAnswer: -847000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 94*p**2 + 982*p - 241081 - 854*p**2 + 759*p**2 = 0.\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 g, and 1 j when three letters picked without replacement from grrgrrrrgrrgrjrgrr.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x, -z + 5*x = -2*z - 5. Let l = z - -17. Suppose 0 = -2*v - l*a + 106, -4*a - a - 275 = -5*v. Calculate the remainder when v is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2954 + -2955. Which is the nearest to x? (a) 2\/7 (b) 2.06 (c) 0.4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 7:03 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4682 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 27*f**2 - 6*f - 153. Let g be w(-27). Suppose -66 = -19*x - g. Solve 0 = -3*q - 0*q - x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*h + 365 + 495 = -361 + 261 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -294, 23, 12\/11, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btr when three letters picked without replacement from bkgggtgtbrgggggggggt.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 97178a5 - 5?\nAnswer: 97178a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -237 (base 13) to base 3.\nAnswer: -112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22763967*p*u**3 + 16002*p*u**2 + 526*u**2 wrt u?\nAnswer: 136583802*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypp when three letters picked without replacement from pwpjyid.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 261392201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 17. Let i be (5\/15)\/(2\/18). Sort 5, i, s in increasing order.\nAnswer: s, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b**3 + b**2 + 5*b - 4. Give d(2).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/8 + 2 + (-9)\/(-12). Suppose z*m = l + 18, -5*m - l + 41 + 11 = 0. Solve m*j - 2 = 12*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 51759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9537 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -63. Solve -184 + 187 = -a*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*k - 15, 0*k = -3*u + 5*k + 78. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3289 is divided by 1001?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j. Let c be p(5). What is the common denominator of 27\/4 and -2 - 1\/(c\/(-12))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1877\/4 or 469?\nAnswer: 1877\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 8\/(-112) + (-128368)\/(-224).\nAnswer: 22347","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 159\/(-360) + (-4)\/(-10). Let b(g) = -5*g**2 + 21*g + 1. Let l be b(4). Suppose -p - f = 2, -l*f - 3 = p - 3*f. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -1. Let q(k) = -k**3 + 7*k**2 + k - 4. Let i be q(7). Suppose 16*x - 27*x = 0. Put x, r, i in descending order.\nAnswer: i, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90 or -0.1?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vchd when four letters picked without replacement from {e: 1, y: 3, v: 1, c: 4, h: 5, d: 3}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + -1. Let i(m) = -8*m**2 - 56*m. Let j be i(-7). Which is bigger: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 4*s - 1. Let z be b(-3). Let r be (24\/(-10))\/(z\/(-25)). Let p be 1*(r\/3 + -1). Solve -p*u = -2*t - 2*u, 5*t = -u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 3*j - 2. Suppose 2 = 2*m, 22*m = -4*u + 21*m - 11. Give f(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b + 8. Let g be a(6). Let k(x) = x + 8. Let d be k(g). Let i(n) be the first derivative of n**3\/3 - 5*n**2\/2 - n - 1. What is i(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1763 and 25333367.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = -n + 2183, n - o = 2198. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 1) + (18 - 4) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1000000010 (base 2) to base 7\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 629 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 709811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 270.11 - 269. Let f = -3.89 - m. Put -0.5, 4, 1\/7, f in increasing order.\nAnswer: f, -0.5, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - 0 - (-480 - -502 - (1 + 37) - 50).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2. Let a(q) = 1265802*q. Calculate a(l(c)).\nAnswer: 1265802*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 100*t**2 - 1308*t + 104 = 0.\nAnswer: 2\/25, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 0.04307, -36, -2?\nAnswer: 0.04307","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h - 3*h + 0*h + 9*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 30\/(-8)*(-10)\/(-3)*-2?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 219 - -99. Let w = t - 318.4. Which is the nearest to -5? (a) w (b) -0.08 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 483984?\nAnswer: 483979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -1242.\nAnswer: -2484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 1\/17 (c) 0.03 (d) 99\/5 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 342837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) -24 (c) -3 (d) -90459\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -531 + -2254?\nAnswer: -3225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mza when three letters picked without replacement from {b: 1, x: 3, z: 2, m: 4, a: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 5*t**2 - 6*t - 5. Let i be n(-4). Suppose -i*l = 2*l - 10. Suppose 0 = 4*k + q - 8, 0*k - l*k = 3*q - 4. Are k and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220404586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1257943291 and 737?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1\/10 (c) -1\/6 (d) 0.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 14 - (24 - 19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**4\/4 + 2*c**3 - 3*c**2 + 2*c + 55. Calculate v(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*k + 9*k**2 + 67*k + 46*k**2 + 2)*(2*k**2 - 2*k**2 - 2*k**3).\nAnswer: -110*k**5 - 2*k**4 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*z - 8 - 20*z + 2*z**2)*(-2*z - 2*z - 2*z) as s*z**2 + v*z + u*z**3 + i and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152223557050 - 152223557410.999999348. Let a = y + 361. Round a to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**4 + g**3 - 1. Let i(w) = 5*w**4 + 17*w**3 + 91*w - 6. Let o(k) = 6*h(k) - i(k). What is the second derivative of o(t) wrt t?\nAnswer: 12*t**2 - 66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 13*c = -0*c + 105. Calculate the greatest common factor of c and 1085.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 342468\/(-9513) + 3532\/98?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -331 or -509106\/1537?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5)\/(26355\/(-775) - -34).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 142 - 228 = 2*r, 4*r + 500 = 4*q. What is the tens digit of (q + 1)\/((-5)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-9142713.\nAnswer: 3657085.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + (sqrt(11)*1)**2*5.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 + 158 - j + 2*j**3 - 158. What is the units digit of m(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 10*f - 9. Let t be w(9). Suppose 6*d - 9*d + 5604 = t. Suppose -3*s = -4*p - 5*s + d, -1415 = -3*p + 2*s. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48d + -13?\nAnswer: 47a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5287 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/5 of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 3*f**2 - 2*f**2)*(4 + 317*f - 4 + 186*f - 3187*f).\nAnswer: 5368*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*2*1\/(-2). Suppose -2*k - 4*l - 9 + 167 = 0, -g*k - 3*l + 157 = 0. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -34434, -4, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = -3*q + u, 0 = -2*q - 4*u - 6. Let h = 1902\/15787 + 749505707\/899859. Let j = -833 + h. Which is smaller: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**2 + 339227*t + 3731618 = 0.\nAnswer: -11, 339238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 31*u + 32. Let h be o(-30). Suppose -4*l + 29 - 7 = h*p, 0 = l - 5*p + 22. Solve 2*m - l*m = 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 582.8 * 0.5\nAnswer: 291.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -763.4 and 2.4.\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**3\/3 - 11*x**2\/2 + 2*x. Let v be c(8). Solve 3*t - v*t = -4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 10. Suppose 0 = 5*r - y + 5*y - 11, 2*y - 4 = -2*r. Let j = r - -6. Solve i*t = -j - 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4701\/4 - 5891\/5. Calculate the common denominator of m and 61\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -2, 77 in increasing order.\nAnswer: -3, -2, 7, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 12*b + 787 - 176 + 10*b to z*b + p and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 373*p + 500. Is m(5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -717.2435 plus 8.7?\nAnswer: -708.5435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3 - 29*v**2\/2 + 55*v\/2 - 6 = 0. What is v?\nAnswer: 1\/4, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0.2. Let y = 19 + -17. Let h = 1.8 - y. What is the third biggest value in h, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 11:29 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**15\/(l*(l\/l**16)\/l) assuming l is positive.\nAnswer: l**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 232596 and 4851714?\nAnswer: 378433692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + h + 11 + 7, 13 = 2*u - h. Suppose -5*k = -5*n - 5, -7 + u = -5*n - 2*k. Factor 2\/7*g**2 - 6\/7*g**4 + 8\/7*g**3 - 4\/7*g + n.\nAnswer: -2*g*(g - 1)**2*(3*g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2)\/(-18)*(-23)\/(40066\/(-1608)).\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-129)\/(-12) + 3\/(-4). Let l(u) = 6*u - 50. Is l(o) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 19 = 5*j + 3, 2*a + 3*j = 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - d8?\nAnswer: -d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 204626 + -14?\nAnswer: 204612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s + 20 = 21*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 121320?\nAnswer: -121330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -27. Let v = d + 21. Let b(i) = -i**3 + 8*i**2 - 5*i. What is the units digit of b(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 24*l**2 + 14*l + 14. Let h = 321 - 328. What are the prime factors of x(h)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 8:47 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/3 - 349*g**4\/3 + 25238*g**3 - 220774*g**2\/3 - 670081*g\/3 - 124415 = 0. Calculate g.\nAnswer: -501, -1, 5, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/10, 3, 1, 1\/5 in increasing order.\nAnswer: -3\/10, 1\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v - 16830 - 276318. Is 80 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*f**2*l - 39768*f**2 - 3*l - 545408 wrt f?\nAnswer: -14*f*l - 79536*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**5 + i**3\/3 - 3*i**2 + 14*i + 2. What is the second derivative of f(r) wrt r?\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - (-7 + 4 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 5*u**2 + 3*u - 3. Let b be 8 - (2 - 1)*3. What is the lowest common multiple of 8 and t(b)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -3727?\nAnswer: -3726.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 13, c: 5}. Give prob of picking 2 o and 1 c.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrwxxxcwrorw. Give prob of sequence rr.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21516.\nAnswer: 2, 3, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.4 - 25. Let a = -4.07 + t. Let f = a - 2.33. Do -1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 42824712188.99999947 - 42824712446. Let v = -257 - t. What is v rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**3\/4 - 39917297*i**2\/4 + 99586917476300*i - 99586907496976 = 0.\nAnswer: 1, 19958648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5669654 divided by 3\nAnswer: 5669654\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-46)\/(2\/(-5) + 94\/10) and 29\/84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/224 and 113\/14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - k - 2*k)*(-k + 2*k + k + (4 - 4 + k)*(0 + 2 - 3) + 19 - 19 - 23*k).\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 4. Let k be h(8). Suppose -4*w = -w - 9. Which is bigger: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 53 = 3*c + 137, c + 5*k + 50 = 0. Let t = 84 + c. Let h be (3\/1)\/(15\/40). What is the highest common divisor of t and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*(-14)\/105 + 1\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 919080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.4 + -11. Let q = u + -0.9. Which is the biggest value? (a) -4 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5341.39 to the nearest ten.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 19*p**2 - 13*p + 5. Is y(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46480811?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*u = -250 + 44 - 241. Find b such that 10\/3*b**2 + 0 - 14\/9*b**u - 2*b + 2\/9*b**4 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 589323 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187 + -201. Which is the smallest value? (a) -0.4 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -309 in 29, 2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 3:50 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -12*v - 2. Let x be q(2). Let y = x + 37. Suppose -y = -4*n + 17. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a + 96. Let g(y) = -19*y**2 + 3*y + 1. Let b be g(-1). Calculate the smallest common multiple of 12 and i(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 take away 40?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28*17\/(-1666))\/(12\/(-6)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 795986350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + 0*r)*(0*r + 3*r + 0*r) + 53*r**2 + 70 - 70 + (r - 4*r + r)*(-3 + 8*r + 3).\nAnswer: 31*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2 = q. Let y be 4*((-1)\/q + 1). Differentiate 5*s - 2*s - y*s + 1 wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.008 - -28.992. Let a = k - 29.13. Let g = 11.87 - a. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/37128 and 35\/226419804?\nAnswer: 3169877256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, y: 2, r: 1, q: 1, i: 2, b: 1}. What is prob of sequence bd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 5113092*r**3 - 10226190*r**2 - 5113096*r.\nAnswer: 2*r*(r - 2556548)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**4\/5 - 1083*p**3\/5 - 19602*p**2 + 1749600 = 0.\nAnswer: -180, -10, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**4\/4 - 7*q**3\/3 - q**2\/2 + 8*q + 3. Let t(h) = h**2 - 58*h + 106. Let c be t(56). Determine y(c).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*-5*(0 + sqrt(847) + sqrt(847)))**2 + 5).\nAnswer: -1016415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145190?\nAnswer: 2, 5, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7697419l in millilitres?\nAnswer: 769.7419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 6*f**2 + 6866*f**3 - 13717*f**3 + 6849*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 882394 and 14?\nAnswer: 6176758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 1752 = -12*h. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-7)*s*s*(s**(-11)\/s)\/s*(s**(-6))**(-7\/2) assuming s is positive.\nAnswer: s**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 84120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1092 divide 527354100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 7:18 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298185613?\nAnswer: 11, 27107783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14)*10725\/(-385) + 8?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-93)\/186)\/((-5)\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w = -33355 + 33508 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -1, 6 in descending order.\nAnswer: 6, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -27*n**4\/2 + 39*n**3 + 892*n**2\/3 - 848*n\/3 + 64 = 0.\nAnswer: -4, 4\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 4a545?\nAnswer: -4a548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3 + 2 - 7 + 44*t - 3.\nAnswer: 44*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 15*u**2 - 6*u - 10. Suppose 20 = 2*x - s, 6*x = 2*x - 2*s + 56. Let v be (8\/(-12))\/(1\/x). Is j(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2. Let h(g) = -591297*g. Determine h(b(p)).\nAnswer: 591297*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 16 = 2*z, -8 = z + 2*z - 5*o. Suppose -n = z*n. Solve n = 5*j - r + 3 + 2, 5*j - 2*r + 10 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.7, 0.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56630 divided by 2.\nAnswer: -28315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(sqrt(3) + -4 + sqrt(3) + 1) + 0.\nAnswer: -12*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.13497074969 and -3.\nAnswer: -3.13497074969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (-4)\/(-6)*(-20556)\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-49)\/21))\/(4\/14)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*v - 55. Let h = 45 + -34. Suppose -h = -m + 79. What is the highest common divisor of v and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let n be h(-3). Suppose -n*g + 5*f - 16 = g, 0 = 3*g - 4*f + 12. Let v(w) = -w**2 - 4*w - 2. Determine v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-318)\/(-8))\/((-22448)\/(-896) - 25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2423320*16.2\nAnswer: 39257784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(150))\/(-2*sqrt(2)*-6 - sqrt(2)).\nAnswer: -10*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 122321 (base 4) to base 5\nAnswer: 23341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.343995 rounded to 3 dps?\nAnswer: -0.344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -5\/38981347?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 203 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -4.2. Let n = 4.20087 - m. What is n rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + a**2 + a. Let i(f) = 22*f**3 - 44*f**2 - 44*f. Calculate -3*i(k) - 132*q(k).\nAnswer: 66*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 21313?\nAnswer: 21313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42\/(-91) - (-149779)\/13.\nAnswer: 41, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 124208420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -0.1, 0.01, -224\/3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 176 in ascending order.\nAnswer: -3, -2, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 1:55 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -13054 + 11535. Calculate the remainder when a is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011770389 rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 8, -2, -4 in descending order.\nAnswer: 8, 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kssffssfwsks. What is prob of sequence fw?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182787510.\nAnswer: 2, 3, 5, 6092917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190\/(-25)*1713\/1142.\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8585 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-14 + -4 + 14 + 6 + -8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -8 - 2*l**2 + 2*l + 8 - 4*l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -134*q - 1208. Determine i(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**17)\/(i*i\/(i\/(i**(2\/67)*i))*i*i))**(-1\/45) assuming i is positive.\nAnswer: i**(1342\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.8851087424 - -3.8851. Round o to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*q + 469 + 2167 + 439 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-12)*6\/(-4). Suppose 18 + 42 = 4*n - 4*s, -n + y*s = -20. What is the least common multiple of n and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*j - 5*x + 6, 2*x + 8 = 2*j. Suppose -g - 14 + 1733 = 2*q, j*q - 2586 = -3*g. List the prime factors of q.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7688562 divided by -6\nAnswer: 1281427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r**(-3\/10)\/r)\/r*r))**(2\/5))**(-14\/9) assuming r is positive.\nAnswer: r**(-154\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/2 + 3*z**4\/2 - z**3\/2 - 3*z**2\/2.\nAnswer: z**2*(z - 1)*(z + 1)*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 205 = 3*u, -45 = -2*g - 5*u + 6. Let v = 103 - g. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-54)\/(-27) + (4 - 1). Suppose -446 = -g*h + 209. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7693962389 rounded to 2 dps?\nAnswer: 2.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 15107919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 2*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -26.8. What is the smallest value in 0.3, l, 2\/23?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(25) + sqrt(25)))\/(1*sqrt(500)) + -3*(sqrt(5) + (sqrt(125)*-1 - sqrt(5))) + 2.\nAnswer: 2 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-260)\/58) - (680\/(-65))\/68.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**3 + 256*s**2 + 500*s + 248 = 0 for s.\nAnswer: -62, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -108\/13, 0, -0.1, 1 in descending order.\nAnswer: 1, 0, -0.1, -108\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12)*-10*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 15 = 7. What is the remainder when (-1 - f)\/(2\/(-8)) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5221, 5197, 5175, 5155?\nAnswer: 5137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 4*m**2 - 2*m - 19. What is x(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -3)*81\/54. What is the nearest to 0.2 in 1, -0.3, u, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 234, 474, 714, 954?\n\"Answer: 240*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b - 1904 = -2448 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-169183)\/(-35) - (-1)\/5. Let x be -3 + 1 - i*-1. Suppose 0 = -u - 5165 - x. What is u rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1101000110000100001001100?\nAnswer: -1101000110000100001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 958\/3 + -315. Calculate the common denominator of o and -91\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m + 4*s + 36, 10 = -5*s. Let o(c) = 140*c + 156. List the prime factors of o(m).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 4*l**2 - 19*l - 122*l + 0*l**2 + 1.\nAnswer: -7*l**2 - 141*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(((h*h*h**(-12\/11)\/h)\/h)\/h*h)\/h)\/h)\/h)**(-2\/39)*(h*h**2*h)**47 assuming h is positive.\nAnswer: h**(80720\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436635140 to the power of 1\/3, to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7669511*i**2. Let u(r) = 2*r**2. Calculate u(n(f)).\nAnswer: 117642797958242*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 799759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -3110?\nAnswer: 3106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**4 - 12*u**2 - 332*u?\nAnswer: -12*u**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttwr when four letters picked without replacement from {r: 4, t: 2, w: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 109159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h + 8*h + h + 4*h - 18*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 15*w**2 + w - 7. What is z(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, h: 3, l: 1}. What is prob of sequence ee?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72544 (base 8) to base 14.\nAnswer: -ad48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.08, 0.1, -7, -0.001 in decreasing order.\nAnswer: 0.1, -0.001, -2.08, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 9 - (3 - (3 + -3)). Suppose g*q - 6*i + 4*i = 379, -4*q + 506 = -2*i. List the prime factors of q.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 10:58 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8716 and -0.5.\nAnswer: -8716.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79.40324l?\nAnswer: 79403.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -12. Suppose n - 28 = -5*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 174\/7 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -q - 1425. What is the highest common factor of q and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 10*x + x)*(-2 - 4*x - 2*x + 0*x).\nAnswer: 66*x**2 + 22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -14, -262, -0.287 in decreasing order.\nAnswer: 1.2, -0.287, -14, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10606*v**2 - 4*v - 10625*v**2 + 4*v.\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 0)*60\/(-45)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1106 + 1110. Solve 2*s - o*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**5 + 2865*y**4 + 11410*y**3 + 17090*y**2 + 11385*y + 2845.\nAnswer: 5*(y + 1)**4*(y + 569)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11320*n - 50684 = -1309247 + 81283 for n.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/9 (b) 7\/3 (c) -0.05 (d) 0.19 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -276134 greater than or equal to -276135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 19023456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 5. Solve -c + 5 = 4*c - a*t, -2 = 3*c - 2*t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010031688 rounded to 7 decimal places?\nAnswer: -0.0001003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppdb when four letters picked without replacement from pdpbpqqpiqqbqidqid?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -22. Let m be 2 + -1 + k\/4. What is the units digit of (m + 2)*4\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0 (b) 3 (c) -31\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - (20 + 2041 + -1))\/(1*-1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 2:16 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -149 and -2.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201 (base 4) in base 14?\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 22*i**3 - 2*i**2 + 4*i - 3. Determine y(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1835, 3639, 5443, 7247, 9051, 10855?\n\"Answer: 1804*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 23?\nAnswer: -7\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 7*r + r)*(-2*r + 2*r + r) + (r + 3 - 3)*(r + 0 + 0) to the form c + o*r + l*r**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 93\/83 at most as big as -281\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o - 4*d + 2832 - 2177 = 0, 0 = -o + 2*o + d + 41 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4876 divided by 12.\nAnswer: -1219\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 6) + 8 + -9. Suppose -i = 4*n - 28, -7 = -n - 3*i - 2*i. What are the prime factors of n\/((-14)\/(-48)) + f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -405\/4813 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10110110110010011 (base 2) to base 15\nAnswer: -1cae2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1994 + 350593?\nAnswer: 3496aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19849083.146 plus -2692?\nAnswer: 19846391.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6)*t)**(-23))**(-23) assuming t is positive.\nAnswer: t**(-2645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o = -100. Let y = -21 - o. What is the greatest common divisor of y and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238748 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12481 = -17*v + 5624. Is v a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 220 = -5*h, 19*h - 18*h + 2*g + 32 = 0. Is h > -289\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 8:52 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/4 of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from ttthttttttttnttmn.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 640 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/370 and -77\/56314.\nAnswer: 281570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 25 = -2*n, -3*n - 4*u - 14 = 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*b - 26*b - 9. Solve 0*q = q - b*o - 17, 0 = 2*q - 5*o - 29 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -48141431, -48141430, -48141429, -48141428, -48141427, -48141426?\n\"Answer: g - 48141432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 30. Let l = -2 - 2. Let p = l + 3.6. Sort 3\/7, p, c in decreasing order.\nAnswer: 3\/7, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5596001*x + 5596000*x - 11191994*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1105, 4422, 9951, 17692, 27645, 39810, 54187?\n\"Answer: 1106*g**2 - g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 41*l**2 + 294*l + 2946. What is m(-35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00067847071 to seven dps.\nAnswer: -0.0006785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = w - 3, 4*t + 1 = w - 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.868 + -4.6. Let z = -0.08 + f. Let o = -0.16 + z. Round o to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 41511.55kg?\nAnswer: 41.51155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 24. Let t(o) = -o**2 + 11*o + 22. Let m be t(13). Let r be k(m). Suppose -r = 5*p, 0*i - i + 4*p + 42 = 0. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1124 - -2247\/2. Which is the nearest to u? (a) 2\/7 (b) -4 (c) -1\/9 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.314834719 - -174.314833884. Let f = -167 + h. Round f to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*s**2 + 0 + 4 - 4 + 2*s**2 + (5*s**2 - s**2 - 2*s**2)*(5 - 1 - 3) - 3*s + 3*s + 3*s**2 - 371*s + 144*s**2 + 371*s.\nAnswer: 149*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/3294 and 95\/126.\nAnswer: 23058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243559 is divided by 351?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -137 + 139 - (7 + 0 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -76, -64, -36, 14, 92, 204, 356?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*z + 295*z - 463 + 296*z - 890*z.\nAnswer: 6*z - 463","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from wpxqqrrwrr?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -351 + 351. What is the closest to d in 0, 0.5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + y. Let p be k(1). Suppose -2*i - 6 = -p. Let v be (-12)\/(-9)*i\/(-2). Which is the second biggest value? (a) -1\/5 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 584*x + 387*x + 4 - 5.\nAnswer: 971*x + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 666450 (base 9) to base 10.\nAnswer: 398403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -146, -351, -558, -767, -978, -1191?\n\"Answer: -x**2 - 202*x + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -401022 - 35?\nAnswer: -401101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/(-85) + 26\/10. Let g be 3*((3 - i - 3) + 2). Put g, 2, 0, 5 in descending order.\nAnswer: 5, 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -42, -7 in decreasing order.\nAnswer: 4, -5, -7, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v\/(v\/(v\/v**(9\/5))))\/v))\/(v**(7\/5)*v))\/((v**(2\/9)\/v)\/((v**(-1\/7)*v)\/v)) assuming v is positive.\nAnswer: v**(11\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 2. Let x(j) = -j**3 + j**2 + 1. Suppose f - 8 + 7 = 0. What is f*a(y) + 2*x(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/758015 and -133\/30.\nAnswer: 4548090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a - 9*a + 20*a)*(2 + 0 - 2*a + 0*a) to g + l*a**2 + f*a and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 21*z.\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2238899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2839, -3, -6 in decreasing order.\nAnswer: -2, -3, -6, -2839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4960515690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -654 - -990. Let x = u + -329. Which is smaller: x or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473567 (base 10) in base 8?\nAnswer: 5476037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -73*o + 11. Let p = -27 + 38. Let s(l) = 36*l - 6. Let f(b) = p*s(b) + 6*x(b). Let w(t) = 2*t. Give f(w(r)).\nAnswer: -84*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 + o**2 - o - 1. Let q(p) = -25*p**5 - 8*p**3 - 4*p**2 + 17*p + 4. Let s(z) = -q(z) - 4*w(z). What is the second derivative of s(c) wrt c?\nAnswer: 500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 76 = -26 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 36*r - 20 = 0. Let c be -1*((-2)\/r)\/((-133)\/(-76)). Which is bigger: c or -2\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**3 + u**2 + u + 1. Let b(k) = -k**3 + 8*k**2 - 1. Let m be b(8). Let p(o) = o**3 - o**2 - o - 1. Let d(h) = m*y(h) - p(h). Factor d(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 46 = p, -17*d = -13*d + p - 172. What is the lowest common multiple of 63 and d?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 253318*f**2 + 14*f + 3. Is x(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)\/(d\/(d**(-2\/5)\/d)*d))**(2\/85)\/(d**(-2\/11)*d*d**(-3\/5)*d*((d*d**1\/d)\/d)**(-2\/19)) assuming d is positive.\nAnswer: d**(-6949\/4675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -289510*z**2 + 119. Let p(j) = 4907*j**2 - 2. Give -2*h(r) - 119*p(r).\nAnswer: -4913*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000097632206 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**2*o**3 + 30*b**2*o**2 - 2*b**2 + 2*b*o + 37*b wrt o.\nAnswer: -24*b**2*o + 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*2\/(-4)*374\/(-44)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3487*k*v - 2098*v + 2 with respect to k.\nAnswer: 3487*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/7)*x**(1\/5)*x*x)**(6\/11) assuming x is positive.\nAnswer: x**(702\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.94 and 0.9.\nAnswer: -1.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -3*c - 44, 3*c - 3 = -5*m - 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 23\/3, 3\/164 in descending order.\nAnswer: 23\/3, 3\/164, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14545740 is divided by 2507?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 990?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*z - 15. Let s = -4 - z. What is the remainder when 1\/6 - (-298)\/12 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.8 + 42. Let j = -182.4 - -178.4. Let s = y + j. Round s to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 5*x - 62. Let s be a(11). Let g(i) = 6*i**2 - 2*i - 7. Let v(b) = 5*b**2 - b - 6. Calculate s*g(j) - 5*v(j).\nAnswer: -j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4*i**2 + i**2 - 2 + 8 to p + f*i + s*i**2 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -u - 4, -4*u + 3*z - 18 = -u. Does 7 divide (u - -17) + 4\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(sqrt(52) - sqrt(572)\/sqrt(11))*-1)\/(3*5*sqrt(4) + (sqrt(4) - (sqrt(32) + sqrt(3872))\/sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 453755 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.4 - -5. Let d = 2.44 + x. Which is the closest to d? (a) -0.4 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 154\/23 (b) -2\/9 (c) 1\/2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1468 by 4.\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005216 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 47. Suppose 4*s - 287 = -4*l + 3*l, -370 = -i*s + l. Let p = s - -54. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + n + 1. Suppose 0 = -13*i + i - 24. Let a(z) = -z. Determine i*a(m) - l(m).\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1311 - 1279 = -5*s. Calculate the greatest common divisor of 56 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 - -1) + -4)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -60*p**2 - 32*p - 38. Let a(f) = 11*f**2 + 6*f + 6. Let s(z) = 11*a(z) + 2*i(z). Suppose -d - 5 = -0*d. Calculate s(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5 - 315*a**4 + 104397*a**3 - 4674249*a**2 - 10613334*a + 39093624 = 0. What is a?\nAnswer: -261, -4, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.456207814504 and -0.3?\nAnswer: 5.756207814504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3580758?\nAnswer: 2, 3, 331, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1045482 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 128. Let a(p) = -p - 110. Let k(s) = -7*a(s) - 6*w(s). Let v(x) = -x**3 + x - 1. Let j be v(-2). Give k(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221013 + 23?\nAnswer: -220330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 5\/2*i**2 + 5\/24*i**4 + 5*i + 0 - 2\/3*i**3. Let b(y) be the first derivative of d(y). Differentiate b(w) wrt w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - y + 1. Let x(a) = -5*a**2 + 2*a - 2. Let p(o) = 2*g(o) + x(o). Let i(u) be the third derivative of u**5\/15 - 16*u**2. What is i(p(t))?\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 0*b + 28. Suppose -2*u + b = -7. Let v(f) = f - 5. Let w be v(u). Solve 0 = w*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 6, 5 in decreasing order.\nAnswer: 7, 6, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255*-43.\nAnswer: -10965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 202759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 95*q + 53*q + 46 + 70.\nAnswer: 148*q + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -645, -1451, -2581, -4035, -5813?\nAnswer: -7915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*a - 424*a + 203*a = 78 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {i: 9, o: 1, k: 4}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -5*f + 47, 97455*f = 97454*f - 5*h + 15 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68066*g**2\/19 - 884854*g\/19 - 52\/19 = 0. What is g?\nAnswer: -2\/34033, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1239 is divided by 211.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 7*m**2 - 19*m**2 - 11*m**2.\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*q + 37 = -23*q - 326 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**2 - 150*z + 170. Calculate the remainder when 1196 is divided by o(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 13*b + 17. Let d be c(14). Sort d, 1, 5 in descending order.\nAnswer: 5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 6. Suppose 3*w = y*w - 2. Suppose w*r - 4 = r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 13\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 317 * -0.2\nAnswer: -63.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*x = -738*x + 4376 + 286 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37.37 - 37.32. Put -2, 13, n in increasing order.\nAnswer: -2, n, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293754?\nAnswer: 2, 3, 173, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 2. Suppose 2*o - 3*d = -0*o - 4, -20 = -3*o - 2*d. Let g be 1\/o - ((-87)\/(-12) - 2). What is z(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30522818437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.58 + 5.8. Let n = 0.72 - r. Which is the closest to 0.19? (a) 3 (b) 2\/15 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/(6\/27). Let w(l) = -l**3 - 3*l**2 - l - 3. Let u be w(p). Let i be 4 - (-5 - -10) - -3. Solve -i*j + 8 = -u*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 + 28 = 7*i. Let s be 26\/(-4) + (-33)\/i. Which is the nearest to -1\/3? (a) 0 (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 7:00 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5562989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6200 and 2.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -1)\/(3\/3). Suppose -4*w = -25 + d. Are 2 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w + 26. Let i be k(2). Let s(z) = z**3 + 3*z**2 + z - 1. Let r be s(-3). Let y(j) = -2*j - 4. Let c be y(r). Solve 4*q + i = -c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 6762, -135, 5 in ascending order.\nAnswer: -135, 2, 3, 5, 6762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 5 - 2 + 1 + 0 - 2 + 4 - 4 + (4 - 4 - 3)*(-2 + 1 - 1))*(-2*m + 2*m + m)*(-4 + 5 + 0) as j + z*m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o. Let k(p) = 468*p**2 + 1005*p + 2. Calculate d(k(x)).\nAnswer: -2808*x**2 - 6030*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 6*k**2 + 6*k + 6. Let f(l) = -2*l**3 + 11*l**2 - 11*l - 11. Suppose 6*y = 3*y. Let t = y + 6. Suppose -w + t*w = 30. What is w*f(d) + 11*s(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 370. Let n(c) = -3*c - 1112. Calculate 7*k(v) - 2*n(v).\nAnswer: -v - 366","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48*a**3*b + a**3 - 1986*a*b + 74616 wrt b.\nAnswer: -48*a**3 - 1986*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -62\/237161 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -68*k**2. Let p(c) = 2*c**2 - 241. What is p(w(u))?\nAnswer: 9248*u**4 - 241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23a0 - 20671?\nAnswer: -22a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (693\/(-33))\/(-336)*56.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/14)*w)\/w)\/w**16 assuming w is positive.\nAnswer: w**(-207\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*j - 266 - 635 - 516 + 272*j.\nAnswer: j - 1417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*s - 2*i = 85*s - 30, 2*s + i = 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 4*f = -135. What is the smallest common multiple of f and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3492315 and 40.\nAnswer: 27938520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1085 - 962. Calculate the remainder when g is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 7*z**2 - z + 1. Let w be l(7). Let j be 16\/w*(-66)\/4. Let f = -20 + j. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.5 + 12.3. Let r = -49.1 + t. Let v = r - -28. Which is the nearest to 3? (a) 0.4 (b) -1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 + 10\/(-4). Let x(t) = t**3 + 7*t**2 - 9. Let o(p) = 0*p**2 + 0*p**2 - 2*p**2 + 3. Let k(z) = w*x(z) - 7*o(z). What is the derivative of k(i) wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -859959.82 less than 0.2?\nAnswer: 859960.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2 + 2)\/((-105)\/7 + 9)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*m + 101*m + 99*m + 102*m - 47.\nAnswer: -m - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -5. Let u = -0.2 - -0.1. Which is the closest to u? (a) 3 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127a (base 12) to base 14.\nAnswer: aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -ddc (base 15) to base 4\nAnswer: -300330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 0. Let n = 1 + 2. Solve n*c - c = -j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1499 + -1490. Sort j, 7, -1 in decreasing order.\nAnswer: j, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.198 - 11.1. Let j = -0.896 - h. Round j to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 8:26 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1620 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-5))\/(2\/10). Let t = 13 + 67. Is 17 a factor of t\/(0 + 2) - y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 423, 3\/8, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**3 + 7*h - 7. Let i(r) be the first derivative of -r**4\/4 - r**2 + 2*r - 2. Let v = -2 - -6. What is v*p(u) + 14*i(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.5? (a) -0.5 (b) -5 (c) 5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -779 rounded to the nearest ten?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w - 11. Determine z(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35288, 35213, 35006, 34601, 33932, 32933, 31538, 29681?\n\"Answer: -11*n**3 + 2*n + 35297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/9 - 4*7\/(-42). Let n(r) = 93*r**2 - r + 1. What is n(v)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 divided by -81?\nAnswer: -322\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157492 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/12 - (-1)\/4. Suppose k*z + 40 = 5*z. Suppose 0 = -2*d + 4*h - 5*h + z, -4 = -d - 4*h. Solve -d*a - 19 = c, 0*c + 27 = 2*c - 5*a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -119, -468, -1049, -1862?\n\"Answer: -116*k**2 - k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -633*l - 6007. Calculate m(-11).\nAnswer: 956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 3*l**2 + 3. Let d be q(-3). Let o(w) = 3*w**2 + 0 - 1 + 2 - 2*w. What is the remainder when 43 is divided by o(d)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14827207*g**3*m - 2*g**2*m - 2*g**2 - 16*g - 145*m + 4 wrt g.\nAnswer: -88963242*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f**3 - 53*f**2 - 26*f + 28. Let w(x) = 4*x**3 + 27*x**2 + 13*x - 14. Let t(l) = 6*o(l) + 15*w(l). Factor t(j).\nAnswer: 3*(j + 1)*(j + 14)*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10956729, -21913455, -32870179, -43826901, -54783621, -65740339?\n\"Answer: r**2 - 10956729*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 q when three letters picked without replacement from wqvvvqwqrvqqvwwqqw?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -39*k**2 - 437*k - 521. Give q(-10).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 - 2.4. Suppose 2*n - 4 = -j - 3, -j = 1. What is the nearest to n in h, -7, -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -34, -0.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1412 - -1411.945. Put -2\/13, 2, o in increasing order.\nAnswer: -2\/13, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(10)\/sqrt(2) + (sqrt(5) - (sqrt(5) + -3*sqrt(720))) + 4 + (0 + sqrt(125))**2 + 5.\nAnswer: 38*sqrt(5) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -14 + (6 - 6\/(-3)) - -6. Let u be (16\/(-12))\/((-2)\/(-6)). Let s be 9*((-13)\/(-3) + u). Solve s*l - 4*l = w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 6:31 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g - 45. Suppose 2*y + 22 = -16. What is the least common multiple of 20 and v(y)?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5, -5*n + 208 = -4*b - n. Let z = b + -73. Let i = -121 - z. Solve i*w - 23 + 8 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -36, 3, -5, 144 in ascending order.\nAnswer: -71, -36, -5, 3, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 305 + 320 = -4*v, 0 = v - 3*n + 165. Let j = -150 - v. Let x(q) = q**2 + q + 4. Calculate x(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(126))\/(((sqrt(77)*1)\/sqrt(11) - sqrt(7)) + sqrt(7)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 16. Let u be s(0). Calculate the lowest common multiple of ((-27)\/(-4))\/((-6)\/u) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000045893 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - m**2 - 10*m + 5. Let i(l) = -l**3 + 5*l - 2. Let z(s) = 13*i(s) + 6*p(s). Let n(k) = -15*k**3 - 13*k**2 + 11*k + 9. What is -6*n(f) + 13*z(f)?\nAnswer: -f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from llllllllvlll?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.002 and 1.3758.\nAnswer: -0.0027516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjmo when four letters picked without replacement from {s: 1, j: 3, m: 2, t: 3, f: 2, o: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yeyeyeeyeyey.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -4.7. Let r = -2.7 - b. Let z = -8 - r. What is the nearest to 1 in 2\/5, z, -2\/13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.5 less than 27?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5058918, 5058917, 5058916, 5058915?\nAnswer: 5058914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 757\/12. Let q = -5.221 + 5.321. What is the smallest value in q, 17, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 67, 59, 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0*u)**22)**(-28)*((u**(-1\/2))**18)**(-13\/2) assuming u is positive.\nAnswer: u**(-1115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36*4\/(-80))\/((-6)\/(-10)). Let o(y) = -2*y + 3. Let c be o(4). Let a = 11 + c. Solve 0*t = z*t + a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 7*f**2 + 8*f. Let m be a(-8). Suppose 4*t - 2*d - 106 = 0, m = -3*d + 2 - 17. Suppose 0 = -l + 5*l + t. Let x(n) = n + 5. What is x(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5 + 33315*y**4 - 91905696*y**3 - 3249862356*y**2 - 21578892960*y - 40208270400 = 0. Calculate y.\nAnswer: -27, -4, 5570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*n = 4*c - 36, 0 = -c + 5*n + 16. Let b be (-4)\/(-10) - 2322778\/(-530). Is b\/c*(-12)\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 28*d**2 - 12*d - 6. Let o(x) = -x**3 - 27*x**2 - 10*x - 5. Give -6*o(w) + 5*z(w).\nAnswer: w**3 + 22*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 9 + 17)*(-2*u**2 + 2*u**2 + u**4) to the form j + z*u**2 + k*u + p*u**3 + m*u**4 and give m.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10265.\nAnswer: 5, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 10*y**2 - 13*y + 7. Suppose 2*b - 35 = -13. Let x be j(b). Is (-228)\/(-5) - 6\/x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/42 and -53\/96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -65*h - 9. Let z(u) = 33*u + 4. Let r(x) = -3*s(x) - 7*z(x). Let g be (-1 - -1) + 2 + -3. Is r(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102 + 49 - 7)*(-l**4 + 2*l**4 + l**4)*(-2 + 0 + 0 + (2 + 0 - 1)*(3 + 2 - 4)).\nAnswer: -288*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -182.24 rounded to 0 dps?\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3987688042 a multiple of 790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1696 - -0.0696. Let y be 2 - 1 - (-5)\/(-9). Which is the nearest to 1\/4? (a) y (b) -5\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0. Let b be 12 + ((-1)\/1)\/q. What is the units digit of (-5)\/(5\/2) + b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -216*r**2 - 224*r**2 - 238*r**2 - 5*r**3 + 628*r**2 as m + p*r**2 + o*r**3 + s*r and give p.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 17*f**2 - 13*f. Is v(-4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + v = 4*v. Suppose 18 = i + 2*i. Let w = v - i. Let s(l) = l**2 + 4*l. Let x(m) = 2*m**2 + 7*m. Calculate w*x(k) + 10*s(k).\nAnswer: -2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {o: 11, c: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gghh when four letters picked without replacement from {g: 10, h: 4}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2421\/6488 - -3\/1622. Which is the second smallest value? (a) g (b) -2 (c) -7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26242*a**2*z**2 - 123912*a**2*z + z wrt z?\nAnswer: -52484*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.02 (b) -86\/9 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (176\/(-6))\/(-4)*576\/(-1920).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/1714 (b) -3 (c) 223\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6283*u - 6295*u + 336 = 0. Solve 3*t = -5*q - 7, 5*t - 3 = 5*q - u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108137 (base 9) in base 3?\nAnswer: -10022011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 117611*r + 426. Is b(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.4, -1\/4, 17220 in decreasing order.\nAnswer: 17220, 3, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 570 + 690. Suppose 4*j - j + 2*x - p = 0, 2*x + 6 = 0. Let f = 95 + j. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15874194 and 522.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0 (c) -1\/10 (d) 8\/239\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-12) + (-2)\/(-12). Suppose v = -7*w + 4*w. Suppose 0*l + 4*l - 1044 = w. What is l rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 11*h + 17. Let z be k(15). Calculate the highest common divisor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l**2 - l + 6. Let t(s) = 14*s**2 + 3*s - 13. Let m(q) = -3*t(q) - 7*v(q). Let j be m(-1). Calculate the greatest common divisor of 18 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/27*12*(1 + -10). Suppose 0 = -5*x + l + 317. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1232 - 1146.1232. Let v = n + 1145.998429. What is v rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -104585.\nAnswer: -522925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m**2 + 6*m + 3. Let l be -2 - (-6 - (-10)\/2). Let s be n(l). What is the greatest common factor of 114 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5473 + -5473. Suppose 5*h = -20, -l + 3*h - 8*h - 26 = 0. Which is bigger: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 11:37 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -7. Let o = z + -9. Solve -o - 7 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*a**4\/17 + 2004996*a**3\/17 - 2807010*a**2\/17 + 802004*a\/17 = 0. What is a?\nAnswer: -200501, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 106*q - 11. What is r(-1)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 427 + -413 + (-35 - -4) + -3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 195*n - 39552. Determine l(319).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 89, -3, 541, -23 in descending order.\nAnswer: 541, 89, 4, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2. Let h(r) = 7*r**2. Calculate h(n) + 2*w(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304, 611, 928, 1261, 1616, 1999?\nAnswer: 2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(10036*n - 10625*n + 6433*n).\nAnswer: -5844*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4040295 divided by 3?\nAnswer: -1346765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 373?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 21 = -u + 5*p, 0 = 2*u + p - 9. Suppose -2 - 2 = -u*a. Suppose 4*q = 5*v + 8, -3*v = 3*q - 0*v - 33. Solve -1 + q = -a*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.460159 to three dps.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-4 - -4) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -6. Let i(b) = 5 + 2*b + 0*b + 5*b - 2*b. Is i(s) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 1. Suppose 4*l - 16 = -4*h + 3*h, 11 = -l - 4*h. Suppose -t + 41 = 5*x, -l*x - t + 33 = 2*t. Calculate the lowest common multiple of o(x) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/105 - (-3 + 1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - 56) + 3 + -35 + -16.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102331 - -333?\nAnswer: -101443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 21 - 4*d + 2*d + 2*d + d**2. Let t(f) = -4. Let u(m) = -2*n(m) - 11*t(m). Find z such that u(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.973157 - -0.045843. Let d = t - 34. Round d to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**8\/420 - c**4\/12 - c**3\/2 - c**2. Let z(m) be the first derivative of v(m). What is the first derivative of z(u) wrt u?\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vanj when four letters picked without replacement from vgjna?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.197? (a) 1\/3 (b) 7\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -58, 9, 6, -1 in descending order.\nAnswer: 9, 6, -1, -16, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4893349 and 2525?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 2*x**5\/25 + 13*x**4\/10 + 46*x**3\/15 + 11*x**2\/5 - 113. Factor t(h).\nAnswer: 2*h*(h + 1)**2*(h + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**2 - 8*a + 2. Let c(r) = -66*r**2 + 105*r - 27. What is -2*c(u) - 27*j(u)?\nAnswer: -3*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/7 + 94*m**4 - 4006*m**3\/7 + 4702*m**2\/7 + 572*m - 5360\/7 = 0. What is m?\nAnswer: -335, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) - sqrt(1100)*-2) - (-2*sqrt(176))**2) + sqrt(99) + 4 + 5.\nAnswer: -695 - 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-3 + (-3 - 13)). Suppose 4*a + 0*w - z = 5*w, 0 = -4*a - 4*w + 20. Suppose -a*r + r = -32. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94273.9407 rounded to the nearest 10?\nAnswer: -94270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s**3 - 753*s**2 - 109*s + 48. Calculate z(-94).\nAnswer: 1458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**17*i\/(i*i\/(i\/i**20))*i assuming i is positive.\nAnswer: i**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 170176 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 12*f + 28. Let l be b(10). Suppose -l*z + 3*z = 2*s - 816, 4*z + 3*s = 657. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8008116 is divided by 307.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 6*s + 17. Suppose -23*w = -19*w - 36. Let a be x(w). Let j be 99\/15 - 4\/a. Solve -2*t - j - 3 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 + 141087348*y + 2488204970709138 = 0. Calculate y.\nAnswer: -35271837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -243117 divided by 34731?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 18*f + 142. Let a be q(-22). Let w = -129 - a. Calculate the remainder when w is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.388266 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20202 + -1201001212?\nAnswer: -1201022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -770442*x. Let k(d) = -2*d. Give k(u(f)).\nAnswer: 1540884*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 25387 to the nearest 100.\nAnswer: 25400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 190*z - 130*z. Solve z*j - 2*f + 6 = 0, 2*f = -7*j + 3*j - 26 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0532? (a) 0.1 (b) 96 (c) -88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8209?\nAnswer: 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 3\/(-1)) + 9. Suppose -3*k + i + 9 = 0. Suppose k*l - 2*l - 27 = 3*f, -3*f + 9 = 0. What is the highest common factor of 27 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 10*s - 1. Let z(n) = -8841*n**2 - 50*n + 5. What is -5*y(g) - z(g)?\nAnswer: 8836*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2825, 11955, 4?\nAnswer: -2825","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-70) - 132\/330?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5576\/(-6))\/1 - 0\/10. Let r = u + 945. Let s = -16291\/8 - -2028. Find the common denominator of s and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51802 + -21345. What are the prime factors of i?\nAnswer: 7, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -4, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 - 21*k + 13. What is p(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 2*q**7\/7 + 19*q**3\/6 + 11*q. Find the second derivative of u(c) wrt c.\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -499 divided by 443?\nAnswer: -499\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 14286\nAnswer: 14277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*u + 16 = 0, -2*m + m + 8 = 2*u. Let j be m + -1 + -2 + 1. Let q(y) be the first derivative of -3*y**2 + 3*y + 1. Give q(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42117, -84251, -126409, -168591, -210797?\n\"Answer: -12*n**2 - 42098*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.4 - 21.4. What is the smallest value in -3, 2\/9, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -24*w**2 - 5*w + 6. Let p(i) = -71*i**2 - 14*i + 17. Let k(g) = -17*j(g) + 6*p(g). Let f be k(1). Let u = 25 + f. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, a: 4, v: 6, c: 6}. Give prob of picking 2 a.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 2193757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) 47\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -307 times -1.2055\nAnswer: 370.0885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4948 and 5.\nAnswer: 24740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m**3 - 2*m**2 - 3*m + 4. Let p be z(1). Suppose p = 8*w + 17. Which is the closest to -1? (a) 20 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 50, -2\/5, 1837\/12, 27?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -17272.2861 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 859668, 859663, 859658, 859653, 859648?\n\"Answer: -5*q + 859673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115564039?\nAnswer: 233, 495983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513693.\nAnswer: 3, 57077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5 = 0, 4*t - 5*j = -6*j + 183. Let z = 46 - t. Which is the third smallest value? (a) -1 (b) z (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -m + 86, -4*s - m = m - 116. Suppose 61 + s = k. Suppose -z - 5*i + 48 = 0, -4*z - 4*i + 39 + k = 0. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1015 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 6*l - f = 1306, -l = f - 442. Is (-46)\/l - (-41082)\/38 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 s when four letters picked without replacement from rrssssrrrsrsr?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/24 and 2\/(-1160)*97*5\/(-15)?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.02 (c) 2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1336 (base 7) to base 10.\nAnswer: -517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/3 + (-19)\/(-3) is divided by ((-9)\/1)\/(29 + -32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11742 - -3749. Is 116 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f + 119. Calculate s(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*6\/(-40)*40\/(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 5 = z, -29 = 5*h - 5*z - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence doa when three letters picked without replacement from xxxdoxxoba.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93475.\nAnswer: 5, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 6640?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -11 - 3 - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 1. Suppose 281*d - 52 = 298*d + 33. Let u(r) = 2*r**3 - r - 1. What is d*u(c) - 5*y(c)?\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:18 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0*((-20)\/6 + 3) - (-17712 + 9).\nAnswer: 3, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7 + (-9)\/(-6) + 5)*0)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)*w\/w**(-9)*(w\/(w\/(w*w*w**(-16)*w*w)))\/(w**(2\/9)*w))**(-30\/13) assuming w is positive.\nAnswer: w**(310\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 + 96*p**2 - 418*p - 109. Determine f(-52).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44.49 - -49.7. Let a = 0.093 + -0.483. Let t = a - d. Round t to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1504 - 583. Suppose -6*z = 903 + v. Round z to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 430 - -6?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c15 + -1?\nAnswer: -2c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 + 64?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206000 is divided by 348?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 31 - 29. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3 = 5*f. Let n(y) = 68*y**2 - 2*y - 1. Let z be n(f). Calculate the greatest common factor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 + 0.08. Which is the closest to -1\/4? (a) 0.3 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**3 - 336423*a**2 - 336426*a = 0?\nAnswer: -1, 0, 112142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 1:52 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/86670 and 31\/109568.\nAnswer: 44375040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 1, 15, 45, 97, 177?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times 1.4?\nAnswer: -40.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 31*o**2 - 75*o - 35. Is k(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96628 + -96640.8182. Let b = -12.8 - i. Round b to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -20. Let q = 103 + -106. Let t = 19\/22 + -4\/11. Sort t, q, x in descending order.\nAnswer: x, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 33 = 4*s. Suppose -s*x + 728 = 19*x. What is the remainder when 105 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -11. Let n = u - -12. Solve 5*c - 5*i = -n, -i = c - 6*i + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 79, 247, 575, 1117?\nAnswer: 1927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpddpdeideddpp. Give prob of picking 1 d and 1 p.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.112 (b) 3\/4 (c) -2\/9 (d) -1\/4 (e) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1306382 by 59381.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -6. Let c(h) = -2 + 2 - 3*h**f + 5*h**2. Let r(t) = -2*t. What is r(c(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3871, -3870, -3869, -3868, -3867?\n\"Answer: z - 3872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62495750377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -16. Suppose -2*w - 20 = -4*w. Let f be (-9)\/w + 2\/5. What is the biggest value in q, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23.5 in 3, -5, 6\/7, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105*j**5 + 2*j + 90*j**5 - 22 - 95*j**5 wrt j?\nAnswer: 2000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2 + 198*w + 3267 = 0 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1323) + 2)*6)**2.\nAnswer: 3024*sqrt(3) + 47772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 39\/(-6) + 2\/4. Let o(q) = -5*q**2 - 6*q - 1. Let u(t) = -243872 - t - t**2 + 243872. Give a*u(f) + o(f).\nAnswer: f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/((-13)\/442). Suppose 3*m + v = 2*p, -3*p - 3*m - 2*m - 22 = 0. Is 15 a factor of 61 - 8\/(4\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274534.47 months in decades?\nAnswer: 2287.78725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 0.3, -5, 3\/55?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -83 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 1179176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f - 4*m + 10 = 0, 2*f = 2*m - 30. Let h be (-2)\/(-4)*(0 + -6). Let j be 8\/h*(-360)\/(-96). Is j >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3147298 is divided by 786817?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 8*u**2 - u + 10. Let i be o(8). What is the lowest common multiple of 6\/((6\/i)\/(10\/5)) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 687*w**3 + 25*w**2 - 16*w + 28. Does 8 divide r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2, 0, -3\/4, 561?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -377.818404 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohoo when four letters picked without replacement from ohbffbffofoobfob?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1915*k + 4363*k - 28305*k - 23793*k.\nAnswer: -45820*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 4*r - 6*r)*(-2*r - 5*r + r) + 0 + r**2 + 0 + (-4 + r + 4)*(3*r - 6*r + r) - 32*r**2 + 35*r**2 - 74*r**2.\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*(-39)\/2*(-13780)\/(-15). Suppose 4*k = -4*s - 28, -2*k - 3*s = 7 + 8. Let a be t\/k - 1\/3. What is a rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-5 - -10 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, c: 7, e: 3, p: 3}. Give prob of picking 1 n and 1 c.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**2 + 3*g**2 + 7 + 4*g**2 + 13*g. Is o(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 29*j**2\/2 - 5*j - 40. Suppose -2*v = 2*v - 8. List the prime factors of f(v).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11458 is divided by 382.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9359*d**4*t + 4*d**3 + 2*d**2*t + 331081*d*t wrt d.\nAnswer: 112308*d**2*t + 24*d + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 82*b + 5. Let l(u) = 165*u + 10. Let s(r) = 7*k(r) - 3*l(r). Let g be s(1). Let y = g + -50. Round y to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-15)\/x*x)\/x*x*x**(-6\/37)*x)**(-27) assuming x is positive.\nAnswer: x**(14148\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001145636 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -0.5, 5, -1, -2\/7239, 0.3, 4.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(45) + 1.\nAnswer: -3*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -21. Suppose 51 = -p*b + 591. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - 1383*w**3 + 1384*w**3 - 4 + 3. Calculate l(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 14, m: 1, d: 1, u: 2}. What is prob of picking 1 d and 1 m?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007433256 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 74009 divided by 21\nAnswer: 74009\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, j: 5}. What is prob of picking 2 j?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 20 = -13. Suppose 0 = b + 4*b - 4*n + 50, -3*b + 3*n - 33 = 0. Which is bigger: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4433 - -7016. Suppose -2*y = -4*r - 1722, a = 8*y - 5*y - 5*r. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4696453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4 - (-46)\/(-8). Let b(r) = -r**3 - 6*r**2 + 5. Let f be b(p). Suppose -4*i + 72 = 16. Solve i = w - 4*a, f*w - 2 = -4*a - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 7*c**5\/60 + c**3 + 4*c**2 - 5. Let u(j) be the second derivative of r(j). What is the derivative of u(h) wrt h?\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*u**2 - 143218*u + 143218*u.\nAnswer: 110*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.07 times 1.3?\nAnswer: -2.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 13*x**2 - 5. Let i(m) = 6*m**2. Give i(p(l)).\nAnswer: 1014*l**4 - 780*l**2 + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(125)*-2 + -5 - (-2 + sqrt(125)*-1)) + (sqrt(125) - (sqrt(125) + sqrt(125) + -6*(1 + sqrt(125)) + sqrt(125)))*1)**2.\nAnswer: 180*sqrt(5) + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -16*p**5 + 12548*p**4 + 73104*p**3 - 335348*p**2 + 306592*p - 56880 = 0.\nAnswer: -9, 1\/4, 1, 2, 790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-172)\/1333*248)\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1240 + 1134 - (-2 + -2 + -28).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by -43856.\nAnswer: -23\/10964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 376254033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - j + 0*j - 14 - 62 - 3*j. Let t be k(-11). Is 9\/11 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/28)\/((-71)\/(-2130))\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5172743*m. Let l(z) = 49*z**2. Determine n(l(y)).\nAnswer: -253464407*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211113 - -32?\nAnswer: 211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21 and 0.088.\nAnswer: -20.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 15*l**2 + 21*l + 20. Let k be w(14). Let g = -121 + k. Is 2 - 37*(0 + (g - 20)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-256)\/(-400))\/(24\/(-60))*(-2)\/(-4).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 541768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 1 - 2\/3*a**3 + 0*a - 2*a**2. Solve o(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13004 = -480*k - 9786 + 16942 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pidipdpididdd. What is prob of picking 1 d and 1 p?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, s: 4, p: 1}. Give prob of picking 1 s and 1 t.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67533333 or 67533329?\nAnswer: 67533329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, e: 1, s: 2, p: 2, d: 1, t: 1}. Give prob of sequence tspe.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i**3 + 2*i**2 + 4*i + 4. Let a(r) = 6*r**3 + 2*r**2 + 3*r + 4. Let o(m) = 6*a(m) - 5*u(m). Calculate o(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05192 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -30. Let l be (-2)\/t*(-139 - 1). Suppose 5*k - 2*p - 41 = 89, 3*p = 15. What is the greatest common divisor of l and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -6\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2790 + 2786. Let l(h) = -h**3 - 4*h**2 - h - 9. What is l(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 19*l**2 + 11*l + 34. Calculate d(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-41)*(g\/(g**(5\/8)\/g))\/g)\/(g\/g**(-7\/4)*g*(g\/(g**(-24)*g))\/g) assuming g is positive.\nAnswer: g**(-539\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 - 2*b**2 - b. Let i(h) = -9*h**3 - 10*h**2 + 7*h. Determine -i(f) + 5*w(f).\nAnswer: -f**3 - 12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 1585*h**4 + 133150*h**3 + 514380*h**2 + 510440*h + 3200 = 0.\nAnswer: -80, -2, -2\/317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112292187*g**3 + 213564704*g**2 wrt g?\nAnswer: 673753122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/10 - (-16)\/(-8). Which is the nearest to 0.3? (a) t (b) -4\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*-1)\/sqrt(12) + sqrt(3) + 2 + (sqrt(192) + (sqrt(192) + -2*sqrt(192) + sqrt(192))*6)**2.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.78 and 82.925?\nAnswer: 1474.4065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (55 - 5)\/(-1*1). Let t be h\/(-40) - 9\/(-12). Solve 0 = -t*k + 6*k - 5*o + 15, 12 = -5*k + 4*o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093 is divided by 85.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f + 11. Let o = -16131 - -16207. Calculate the lowest common multiple of q(5) and o.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*o + 1. What is the first derivative of 2 - j**2 + j**2 + o*j**3 wrt j?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a78a (base 11) in base 10?\nAnswer: 102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*l + 16, 0 = 2*m - 0*l + l - 12. Suppose 2*h - 4*h + 3*g = -209, -m*h = 2*g - 394. Does 29 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -455375, 4, 7 in ascending order.\nAnswer: -455375, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-4 - 0) + (2 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwwwnwwnwww?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*k - 47 = 0, 39*k = 4*n + 42*k - 23. What is the greatest common divisor of 176 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 201 and 33031?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000476483 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81485386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 78*z**2 + 866*z - 50410. Determine b(81).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/150 and -27\/20.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -2*w**5\/5 - 5*w**4\/2 - 7*w**3 - w + 39. Find the third derivative of j(f) wrt f.\nAnswer: -48*f - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**0)**47\/((((y*y\/y**(2\/13))\/y)\/y*y)\/(y*y*y**(-2\/7)*y*y)) assuming y is positive.\nAnswer: y**(4538\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-720)\/108*7\/((-140)\/48))\/(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, 0.001, 0.1577?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-25)\/(-10))\/5*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*3\/(-6)*-1. What is the nearest to 1 in 0.03, w, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53 - (34 - -40))\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**18\/w*w**(-14)*w)**(-33) assuming w is positive.\nAnswer: w**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**4\/3 - 10*h**3\/3 + 136*h**2\/3 - 120*h + 96 = 0.\nAnswer: -12, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 21. Suppose 4*z - n = 7*f - 3*f, -f = 4*z + 2. Suppose -2*k - 3*k + 870000 = z. What is k rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75440 by -65.\nAnswer: -15088\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/34 + 800\/3910. Which is the nearest to s? (a) -2 (b) 1\/5 (c) 0.06 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*d - 72, -d - w + 17 = -0*w. Calculate the remainder when d is divided by (1\/(-3)*-1)\/((-183)\/(-3294)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*m + 89130, n + 3*m = 29187 + 529. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 42341*t**2. Let i(m) = 3*m. Give i(g(s)).\nAnswer: 127023*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1143 divided by -5\nAnswer: 1143\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 18 (c) 4 (d) -21818 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033898.2 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 115*w**2 - 4 - 5 - 114*w**2 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - i - i)*(-i + 2 - 2 + (-3 + 0 + 5)*(0*i - 2*i + 3*i) - 2*i - 3 + 3 + 7*i - 4*i + 5*i).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 1519198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 562*z**2 + 342*z + 1096*z - 3310*z**2 wrt z?\nAnswer: -5496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 4:40 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a11068f + -2?\nAnswer: a11068d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - (12\/4 + -3 - 0). Let g = 54 + -57. Sort g, 2, -1\/7, x.\nAnswer: g, -1\/7, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2066855*x - 2066857*x - 51 = 3*l, 0*x + 72 = -3*l - 3*x - 0*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -580 + -639. Let t = -1211.86978 + -6.04822. Let u = t - i. Round u to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548010 by 6089.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-107 - (-278 - -158)) + -1 + 1 + 1 + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5648214668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 761021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most 8328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33)\/5*(-30)\/6. Suppose -2*w - w + h = 0. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 6*p**2 + 8*p - 1. Let o be z(-7). Let i(j) = -2*j - 14. List the prime factors of i(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 13*y + 1. What is the smallest common multiple of g(-7) and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31263726)\/4716894 + 92\/14?\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 + 59. Let y = z - -25. Is (y - 1) + (22386\/(-3))\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*f + 13425 - 11175. Solve -f = -2*a - 16*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 312 + -218. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*a - 13 = 0, -3*u + 5*a - 17 = -3*u + u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -6. Suppose 0 = -3*t - j*v + 11, 0 = -v - 0 + 4. Let b = 12 + t. Solve -2*l - 1 = -b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s = -721 + 2795. What is the second biggest value in 1, s, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 10*z - 10)*(17*z**2 + 11 - 11) to c*z**3 + r*z + h + q*z**2 and give c.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p - 6. Let k(t) = -t - 1. Suppose -v = -2*v - 59. Let b be v\/4 + 1\/(-4). Let w be 2\/((-12)\/b)*8\/10. What is w*u(c) - 11*k(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*i - n, 0*i + 51 = 4*i + 3*n. Let d be ((-12)\/i)\/(3\/9). Is (-4)\/(-2*d\/(-24)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g + 4. Let m(j) = -7*j + 9. Give 5*b(n) - 2*m(n).\nAnswer: -6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-12)\/5*14325\/(-30) and 4?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108*d*f**3 - 10960*d*f**2 + 6*f**3 wrt f.\nAnswer: -648*d + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -34, 5, -0.1 in ascending order.\nAnswer: -34, -4, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (301\/4)\/((-10)\/(-40))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 less than 264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 18 + 162. What is the common denominator of -3\/8 and ((-6)\/a)\/(2\/178)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**6\/120 - o**4\/12 + o**3 + 7*o. Let b(k) be the second derivative of d(k). Differentiate b(f) wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2554279919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 + 8*o**2 + 13*o. Let i be (11\/((-11)\/10))\/(-2). Let b(w) = -5*w**3 + 8*w**2 + 14*w - 1. Let q(p) = i*b(p) - 6*x(p). Determine q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5*p - 17, -5*p + 11 = -4. Suppose -2*a + n = -2*q - 4, -5*a = q - 9. Let l be 15*(10\/10 - 1\/a). Sort -2, l, 1\/7, -0.5.\nAnswer: -2, -0.5, 1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, -196, -580, -966, -1354, -1744, -2136?\nAnswer: -2530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgg when three letters picked without replacement from wggggwdggwgwdgggggwg.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 64. What is the smallest common multiple of j and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 3*r**2 - 3*r + 3. Let k be y(5). What is the highest common factor of 95 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12*(10\/(-4))\/5. Suppose 3*c = -2*o + 31, 35 = 2*o + c + f. Suppose -12*v + o*v - 1738 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 7*l - 10. Calculate t(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (-23 - -24) + 30 + 13?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 7:59 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = -6. Suppose 0 = -4*d, -3*t + v*d - 2 = -23. Suppose -3*n = -t*n + 8. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437232 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 99, 942, 2525, 4848, 7911, 11714, 16257?\n\"Answer: 370*s**2 - 267*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1397382191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 3 + -16 + 3. Let k = h + 19. Let r = -5 + k. Solve r*l = 4*l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + l + 0*l)*(-3 - 1 + 1).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 59*f - 154. What are the prime factors of x(12)?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 798.\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172 or -111?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(200)*-1 + ((sqrt(104)*-4 - sqrt(104)) + sqrt(104))\/sqrt(8)*2)**2.\nAnswer: 21853\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 54?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1975, 2\/9 in decreasing order.\nAnswer: 1975, 11, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(700) + -2*(2 + sqrt(700))))**2 + 1*(0 + sqrt(700))**2*-5.\nAnswer: 1280*sqrt(7) + 7956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*1\/(-2) + 15. Let u be (-4)\/22 - (-1392)\/33. Let a = u + -38. What is the greatest common factor of a and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143579698 a multiple of 578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/9456 and -127\/30?\nAnswer: 47280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1574, 3153, 4732?\n\"Answer: 1579*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 32. Let q be d(15). Suppose -6*s + q*s - 4*z = -4, z = -5*s + 17. Solve -c + 3 - s = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -x, 3*x = -0*n - 3*n. Which is smaller: n or 1\/28?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364904 and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**6\/180 + i**5\/30 - 5*i**4\/72 + i**3\/18 - 4*i. Find c, given that f(c) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -1. Let a be (1\/(-2))\/(9\/(-90)). Let z = a - 6. Sort p, 1, z in ascending order.\nAnswer: p, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**3 + 5*s**2 - s - 23. Let k(r) = 2*r**3 - 2*r**2 + 8. Let t(y) = 8*k(y) + 3*o(y). Let i be t(3). Is (4 - (-1 - -9)) + 660\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26279 is divided by 26254?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 70*b. Let p(j) = -5*j. Let c(s) = -6*n(s) - 85*p(s). Let f(w) = 10*w**2. Determine f(c(k)).\nAnswer: 250*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 8. Let i(x) = -x**2 + 8*x - 4. Let w be i(6). Suppose 0*c + 4*r - w = 4*c, 5*c = r - 18. Calculate o(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 407\/4 + -101. Let p be 4\/((-160)\/(-36)) + 34\/(-85). Which is the biggest value? (a) p (b) -0.09 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4993 + -79?\nAnswer: -73.5007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) - sqrt(1584)*2*3.\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -339 divided by -1.\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 5*u**3\/6 - 1180*u. Let b(v) be the third derivative of 0*v**3 + 0*v + 0 + 2*v**2 + 1\/6*v**4. What is b(y(p))?\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1783 + -1021. Calculate the common denominator of -4 - (k\/(-198) + -1) and 74\/93.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 6*h - 112. Give k(15).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 l, and 1 g when three letters picked without replacement from {l: 3, f: 1, o: 1, q: 2, g: 5}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -520494376 and 0.\nAnswer: -520494376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -0.4, 0.6, 0, 0.1, 23.37 in decreasing order.\nAnswer: 23.37, 0.6, 0.1, 0, -1\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 35776556?\nAnswer: 214659336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39593 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 8*i**2 + 1973 - 3922 + 8*i + 1958. Determine j(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -3444150?\nAnswer: -3444142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -141*p + 147. Let w(b) = -4*b. Let a(s) = g(s) - w(s). What is the first derivative of a(o) wrt o?\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 80 = 3*x. Suppose -i + 5*l = i - 31, 4*i + 3*l = -3. Suppose -32 = -5*j + 2*k, 8*j - 29 = i*j - k. What is the remainder when x is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64805165\/28 or 2314471?\nAnswer: 64805165\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6)*(-105)\/100)\/3.\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-106)\/(-22) + (-18)\/(-99). Suppose 7*d = -h + 19. Suppose -d*k + 0*k + 5*o + 99 = 0, 3*k - 141 = 5*o. What is the remainder when 165 is divided by k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {p: 5, r: 1, h: 1, m: 1, y: 6}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**3\/11 + 56*g**2\/11 - 194*g\/11 - 248\/11 = 0.\nAnswer: -31, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 131, 149, 163, 173?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165.00562 + 165. Round d to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 5*(sqrt(147) + -2)*5 + 3)*-5)**2 + -1.\nAnswer: -367500*sqrt(3) + 2340974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, h: 1, i: 2, n: 1, s: 1, p: 2}. Give prob of sequence ihin.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 4*h - 2. Let u be i(1). Suppose j + 5 = -5*x, 6 + 11 = u*x + 5*j. Is ((-4146)\/24)\/(x\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 - 2.7. Which is bigger: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/5))**(-13)*x**(-7)\/((x*x*x**(5\/3)*x*x)\/x))**47 assuming x is positive.\nAnswer: x**(-19223\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -29315*c + 55887 - 55887 in the form m + y*c and give y.\nAnswer: -29315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (-5)\/(-5)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/621357 or 0?\nAnswer: 1\/621357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 751*h**2 - 27*h - 35*h + 66*h to the form s*h**2 + o*h + z and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 - 64\/24. Suppose -176 = k - 181. Sort f, 1, k, 2 in decreasing order.\nAnswer: k, 2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*v - 0*b - 34, -2*b - 26 = -3*v. Calculate the least common multiple of v and 17.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g + 90. Let c = 33 - 23. What is the remainder when g is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12*w. Let g(l) be the second derivative of -4*l**3\/3 - l**2 + 7*l - 42. Calculate v(g(o)).\nAnswer: 96*o + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*f**3*n + 174*f**2*n**3 + f*n**2 + 5*n**3 + 151*n wrt f?\nAnswer: -42*f*n + 348*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 7*a - 9. Let j be n(-8). Let o be j*(-5 + -2 + 1). Suppose -3*l + o*l = 0. What is the nearest to -1 in -3, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1584 = 89*r - 214*r + 99*r + 70*r for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g**4 - 16*g**3 + 21*g**2 - 14*g + 2. Let b(r) = -15*r**4 + 32*r**3 - 42*r**2 + 29*r - 4. Let d(v) = 7*a(v) + 3*b(v). Determine k so that d(k) = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1.4. Let r = -1.3 + -3.7. Sort t, -1, r in descending order.\nAnswer: t, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -153218*k. Let y(t) = -3*t. What is y(o(h))?\nAnswer: 459654*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 - 8*x**2 + 4*x - 8. Let i be v(-6). Let a(t) = -8*t**2 - 4*t. Let y be a(3). Is 4 a factor of i\/y*(-45)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j + 18*j = -21*j + 5*g + 5, -3*j - 1 = g - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6062 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 9:33 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from zuuuzzz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 4*s - 1. Let c be i(3). What is the third derivative of 13*k**4 + 15*k - 2*k**c - 15*k - 5*k**2 wrt k?\nAnswer: 312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 24 = -0*z - 3*z, 2*z + 2*s - 16 = 0. Let l(h) = 1 + 11*h - 1 - 2. Let i(a) = 7*a - 1. What is z*i(b) - 5*l(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.2. Let i be -112*33\/132 + 32. Which is the second biggest value? (a) i (b) p (c) -27 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -5. Solve 1 = -2*m - z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3244739889.\nAnswer: 3, 1787, 605249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2424156 * 441\nAnswer: 1069052796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1266 - -1294. Solve -5*h - k = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 9:18 PM?\nAnswer: 494","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.83 - 0.17. Suppose -4*q + 14 = -5*k + 1, -8 = -2*q + 4*k. What is the closest to q in n, 1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1753907 millennia to decades.\nAnswer: 17.53907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 10:59 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 18*c + 12. Let m(v) = -18*v - 13. Let f(z) = 6*l(z) + 5*m(z). Suppose -17 = -5*a + 2*p, 4*p + 0*p + 10 = 2*a. What are the prime factors of f(a)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvbbybnvn. Give prob of picking 1 b and 1 n.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wkkkkkwkkkkwkk?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 2:28 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4 = -t. Let a be t*1 + 104\/(-24). Are a and -2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (65 + (-4550)\/78)*6\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 128, -12 in descending order.\nAnswer: 128, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 20*g - 96.\nAnswer: 4*(g - 8)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 1\/2, -2, -0.0527, 0.1, 1 in decreasing order.\nAnswer: 1, 1\/2, 0.1, -0.0527, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4810 to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 0*d - 11*d + d + 14*d - 3*d**2 - 22*d**4 to g*d + c + b*d**3 + p*d**2 + s*d**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/(-18)*16\/(-6). What is the third smallest value in 2\/11, p, -0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -162*4\/14*(-21)\/9. Calculate the highest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-65 + 168 - 47)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424426.\nAnswer: 2, 137, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.17 + 13.17. Let d = 107 - 104. What is the closest to d in v, 0, -4, 0.8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 450 (c) 0.2 (d) 1570\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 2*b + 27*b**4 + 4 - 2*b**2 - 54*b**4 + 12*b**3 + 25*b**4 to y + u*b**2 + a*b + d*b**3 + i*b**4 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 4*n**2 - 132*n - 135*n + 267*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-357)\/17*(-6)\/126.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38928656.\nAnswer: 2, 13, 211, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 + 14*r + 1 - 8 wrt r?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3496 + 3580. Calculate the highest common divisor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43.91122 micrometers?\nAnswer: 0.04391122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -137 - ((-11 - (21 - 28)) + -1 + -13).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3432 divided by -158028\nAnswer: -22\/1013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201001 - -1?\nAnswer: -201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**6\/60 - v**5\/20 + v**4\/8 + v**3\/2 - 2*v**2. Let o(f) = 6*f**3 + 8*f**2 - 8*f - 8. Give -3*o(s) - 8*z(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5248 divided by -6.\nAnswer: 2624\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142.823 + -0.177. Let y = 142.99999919 + t. Round y to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -d - 15. Suppose -4*l - 1 = -3*n, 1 = d*n - 8. What is the third derivative of -1 + 3 - 2 + 3*w**l + 2*w**4 wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 312 = -3*g, 3*z + 1 + 326 = 3*g. List the prime factors of g.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 2\/5, -3, 1.4, 2, 4\/5307?\nAnswer: 4\/5307","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mttmm. What is prob of sequence mt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(3\/(6\/(-8))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.0000053 + -5. Round v to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16728545 rounded to the nearest 10000?\nAnswer: -16730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 65. Let l = -40 + 54. What is the remainder when z(-24) is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*t - 3800 = 44*t + 18730. What is the remainder when t is divided by 167?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*c**2 - 103*c**2 - 54*c**2 + 206*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-790010)\/24308)\/(10\/8).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**8\/6720 - x**7\/840 + x**6\/360 - x**5\/40 + 7*x**4\/12 + x. Let r(b) be the third derivative of s(b). Calculate r(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000 + -21001?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -1. Suppose 5*v + 3*n - 3308 - 787 = 0, a*v = -4*n + 4090. Suppose 4*s = 454 + v. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*b - 31. Let r(y) = y - 4. Let a(l) = l - 5. Suppose 4*h = -4*w - 24, 4*h + 0*w + 24 = 2*w. Let c(v) = b*r(v) + h*a(v). Differentiate c(m) wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7069361 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2717711 is divided by 4130.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z = 65*z + 6*z + 124*z - 18957 for z.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, i: 5, r: 1, p: 1, z: 6, b: 2}. What is prob of picking 1 z and 2 i?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(1\/3)*m*m)\/m*m*m*m))**(-1\/16)*m**(-6)\/(m\/((m\/(m\/(m\/(((m*m**(-1))\/m)\/m)*m)))\/m)) assuming m is positive.\nAnswer: m**(-91\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 422000 to the nearest ten thousand.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*v**5 - 255*v**3 + 4*v**2 - 8556*v?\nAnswer: -900*v**2 - 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-6)\/(-2)))\/((-8)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/893?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + -1110211100?\nAnswer: -1110211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7545 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5 = -s, 2*k + k = -3*s - 3. Solve -4*h = 2*p + 18, -3*p - s = 2*h + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 3*r)*(-9*r + 6*r + 0 + 3) as j + v*r + p*r**2 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -371400 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.8 (b) 0.5 (c) -1\/8 (d) 3\/352\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 7576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2007.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 2955, 4, 0.073?\nAnswer: 2955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = o + 50. Suppose -5*n + o = -4*l - 11, 3*n = -2*l - 27. List the prime factors of (3 + -2)*l*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/35)\/(-2)*(-10)\/(-21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 1.568884273483.\nAnswer: -6.568884273483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*q - 58 + 62 + 21*q**3 + 55*q.\nAnswer: 21*q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2834367 is divided by 17496.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {r: 1, u: 3, b: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 4 + 17)*(-h**3 - 2*h**3 - h**3)*(0 + 2 + 1) to q*h**3 + z*h + w + k*h**2 and give q.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtdvtvddv. Give prob of picking 1 d and 2 v.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -344, -412, -490, -584, -700, -844, -1022?\nAnswer: -1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 54 = -5*s + 3*n, 2*n - 22 = 2*s. Let t = -3 - s. Let c = -1 + t. Round c to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = n - 0. Suppose -t - n = 2*t. Let j be (-27)\/(-78) + 1\/t. Sort -0.4, j, 2\/3 in decreasing order.\nAnswer: 2\/3, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 693, -194, -3 in increasing order.\nAnswer: -194, -3, 693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 49. Suppose 4*f - 6 = -a*c, -5*f + 6*c - 5*c = -11. Find the second derivative of -21*z - 6*z**f - 8*z**2 + 2*z**2 + 4*z wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 32 = 4*d. Let y(b) = d*b**2 + 0*b**2 + 9*b**2. Let l(o) = o**2. Calculate y(l(p)).\nAnswer: 17*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72785592*y**5 - 2*y**2 - y + 57831543.\nAnswer: -4367135520*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -29.00058. Round f to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 13*i**2 + 14*i - 7. Let r be o(12). What is the closest to 2\/7 in r, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 2*q**2 - 6*q + 3. Give u(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04008626 - 3155489.95991374. Let d = -3155490.07999966 - w. Let i = d + 0.08. Round i to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 56\/(-72) - 16\/(-45). What is the nearest to -0.1 in n, -2\/3, -2\/95?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.7 and -5.7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3 + 1920735*a**2*i - 529*a*i - 11*a + i - 1 wrt a.\nAnswer: 12*a + 3841470*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 - 0.6. Let t be 21\/15 - (-2)\/(-5). Which is the closest to t? (a) -0.4 (b) -0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 23191082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -4*l + l**3 + l + 4 + 3*l. Let u(y) be the first derivative of -3*y**2\/2 + 3. Give z(u(v)).\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 6cec?\nAnswer: -6d02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = q - 118. Suppose 2*z = -3*h + 871, -q*h + h - 5*z = -588. Let j = h - 170. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*d - 37 = 0, 8 = -4*l - 9*d + 2*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/324330 and -19\/40?\nAnswer: 1297320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13551*b**5*v**3 - 8*b**5 - 63*b**2*v**2 + 4*b**2 + 31*v**3 - 2*v**2 wrt b.\nAnswer: -813060*b**2*v**3 - 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11204979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20\/31 + 7\/155. Sort -10, 4, x, 3 in decreasing order.\nAnswer: 4, 3, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 22 = -s - 2*a, a = -2*s + 9. Factor 2\/7*z**5 + 0*z + 4\/7*z**s - 6\/7*z**3 + 0*z**4 + 0.\nAnswer: 2*z**2*(z - 1)**2*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4169*r + 767092. Give w(184).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (264\/12)\/(399\/38*(-12)\/(-504))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3267 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*t - 2*t - 13, -3*t = 2*r - 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 28\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -5\/3*c**3 + 1\/4*c**4 + c + 5\/2*c**2 - 7. Let x be v(4). Is x bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -29220051560 to the nearest one hundred thousand.\nAnswer: -29220100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1 = -15. Let y be (1\/2)\/(2\/4). Differentiate 4*c**4 + c**4 + y - o*c**4 wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 23 in decreasing order.\nAnswer: 23, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 389, 430, 127, -526, -1535, -2906?\n\"Answer: -k**3 - 166*k**2 + 546*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 20. Solve 2*f - 4*y - 8 - 6 = 0, 0 = -f + 3*y + s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1423 + 1428. Which is the second biggest value? (a) -42 (b) -6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -21*r - 14. Let a = 35 + -30. Let y(i) = -7*i - 5. Determine a*u(k) - 14*y(k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-14)*1106\/(-4740)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105427574 and 2618.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1565827 millilitres in litres?\nAnswer: 0.0001565827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 806153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -323133432 (base 5) to base 6\nAnswer: -45331100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/6*((-2)\/13)\/(23\/((-1656)\/180)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + (sqrt(228)\/sqrt(4))\/sqrt(3) - 2*(3*sqrt(2299))**2).\nAnswer: -248262 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -60.4, -0.6, 3\/8, 2 in ascending order.\nAnswer: -60.4, -0.6, 3\/8, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 1 - 3*r**2 + r**2.\nAnswer: -2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 4*z - z)*(z + 2*z - 5*z + (-z - 3*z - 3*z)*(-2 + 1 + 4) + 5*z + 2*z - 5*z) as r*z + d*z**2 + n and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96\/59 or -1?\nAnswer: -96\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 10:06 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19411 divided by -1\nAnswer: -19411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2968 - -3111. What is the highest common factor of 91 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111 + -13135?\nAnswer: -13024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(32)\/sqrt(4)) + ((sqrt(99)\/sqrt(3))\/sqrt(11))**2.\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -79 (c) -8 (d) 1\/4 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3371 + 3373. Let z = -8 - -12. What is the closest to z in -1, f, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1.975. Let d = -4.275 + z. Let w = d + -0.7. Which is the closest to 0? (a) -0.3 (b) w (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -6317618\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15 - ((-20 - -13 - 2) + 5)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = -10. Let n be ((-2)\/k)\/(3\/15). Suppose 5*j - 39 - 24 = n*u, 2*j - 4*u = 22. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 l when four letters picked without replacement from plpplllplppllpl.\nAnswer: 28\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1108564649 divided by 4.\nAnswer: -1108564649\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.51 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 e when three letters picked without replacement from qeofqyeeoeo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = -a + 3*a, 2*m - 3*a = 1. Let j(x) be the first derivative of -x + 3\/2*x**m - 3. What is the first derivative of j(g) wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11123323 (base 4) to base 15.\nAnswer: -68e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 20490 = l + 3*w, -10239 = -l + 3*w. Let c = 40\/345219 - 21242821259\/2071314. Let i = c + l. Calculate the common denominator of i and -9\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2. Let q(b) = -12*b + 12*b - 12*b. Determine d(q(i)).\nAnswer: -288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) - (sqrt(171) + 3*sqrt(171)*1) - sqrt(171) - sqrt(171)) - -2*(-2*sqrt(171) + sqrt(171)))\/(3*1*sqrt(144)*3).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 - -0.44.\nAnswer: 38.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y + 132. Calculate q(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1. Let s(y) = -8*y**2 + y + 3. Let j(f) = c(f) - s(f). Let g(a) = a**2 - 1. What is 4*g(o) - j(o)?\nAnswer: -4*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 1 - 2)*(i**2 - 6*i**2 + 4*i**2) - 178*i**2 - 69*i + 69*i - 1 - 3 + 2*i**2 + 0*i**2 to the form n + k*i**2 + m*i and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -634, -1394, -2450, -3802, -5450?\nAnswer: -7394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(17) - (sqrt(153) + sqrt(17))) + (sqrt(833)*1)**2 + 3 + sqrt(17)*1 + -4.\nAnswer: -2*sqrt(17) + 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -101 - 18a729?\nAnswer: -18a82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 160\/(-224)*13\/(-3). Is o equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b46955 - 36?\nAnswer: b4691d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2 (b) -31 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50*1)\/((-170)\/((-170)\/(-2))))\/((-56)\/(-16))?\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 92*u - 95*u = 16938, 2*x - 8474 = -u. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 13, m: 5}. Give prob of picking 2 a and 2 m.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16948 is divided by 150.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2400001*u - 1. Let f(g) = g**2 + 7*g + 7. Let n be f(-6). Let r be q(n). Round r to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3160 is divided by 316?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r = -84. Let u = r + 22. Suppose -3*m - 4*t - 1925048 = 1824956, t = -u. What is m rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 + 3*c**2 - 3. Let i(s) = -3*s**3 + 5*s**2 - 5. Suppose -3*g - 12 = 0, 4*g + 26 = b - g. Give b*i(o) - 10*u(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13916*y**2 + 2 + 28248*y**2 - 14273*y**2.\nAnswer: 59*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*f - f**2 - 5*f**2 - 105*f + 52*f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, f: 7, q: 2}. What is prob of picking 2 f, 1 q, and 1 x?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35326 or -36037?\nAnswer: -35326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 32*h - 13. Calculate l(-26).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-10) + 304\/95 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -4*f**3\/3 - 9*f**2\/2 + 13*f + 5. Let a(u) be the first derivative of l(u). What is the least common multiple of 8 and a(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-24*k - 184*k - 11*k + 95*k).\nAnswer: 124*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-4)*(-292)\/24674*-65.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 + 200. Let y = -13 + 35. Calculate the greatest common factor of y and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 7*b + 8. Let u be f(-7). Let i = 13 - u. What is the biggest value in -1, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1\/4, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 5. Let m be p(0). Put m, -2, -9 in decreasing order.\nAnswer: -2, m, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 10*d + 15 = 0. Let c be (d\/165)\/((-5)\/30). Suppose l + 4 = 8. What is the second smallest value in 2, c, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2450420 (base 7) in base 6?\nAnswer: -10425045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 16.3, -0.1726, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -1\/3*d**3 - 2*d + 0 + 1\/4*d**4 - 1\/2*d**2. Let r(a) = a**3 - 6*a**2 + 4*a + 4. Let u be r(5). Calculate m(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 111\/24)\/((-15)\/20). Which is the second smallest value? (a) u (b) -11 (c) -0.03 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 0.018, 4\/5 in descending order.\nAnswer: 4\/5, 0.018, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -1)*-1*2\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 344 - 320. Calculate the highest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/11 - 3140*t\/11 + 1232450\/11.\nAnswer: 2*(t - 785)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**3 - 5*t**2 + 12*t - 11. Let y = 9 + -2. Let a(o) = 2*o**3 - 3*o**2 + 6*o - 5. Let u(w) = y*a(w) - 3*v(w). Factor u(n).\nAnswer: 2*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -9 (c) -699\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3953, -3950, -3935, -3902, -3845, -3758, -3635?\nAnswer: -3470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 164*s**2 - 85*s - 702. What is the ten thousands digit of f(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56a6 (base 16) to base 14\nAnswer: 8126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -422*u - 1. Let n(h) be the first derivative of -h**2\/2 - 1. Let b(s) = k(s) - 2*n(s). Is b(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**27\/l*l)\/(l\/((l**(-2\/103)\/l)\/l)))\/(l**(4\/5))**(-10\/11) assuming l is positive.\nAnswer: l**(27994\/1133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4855, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j**2 + 313*j**5 + 0 - 312*j**5 + 0 wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -37, -5 in descending order.\nAnswer: 8, -1, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + -2 + 3 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from {x: 4, a: 2, y: 1, i: 2, r: 3, p: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4888568546?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1606292 and -0.5?\nAnswer: 803146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-6)*-6 - 1. Let z be 1\/(-2)*s - -4. Solve 3*w = 4*c - z, 3*w - 5*c - 2 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -3. Let q = 0.6 + -0.1. Suppose -c - 3*l = 7 + 5, 2*l = 2*c. Sort q, x, c.\nAnswer: c, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 5:39 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24622 + -24716. Put -0.4, x, -3, -1, 0.08 in increasing order.\nAnswer: x, -3, -1, -0.4, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 27304.7 millilitres?\nAnswer: 27.3047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 103*s = 2231. Solve s*h = 9*h - 17*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and -103634.\nAnswer: -134724.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 15*r - 14. Let m be p(12). Suppose -2 = 2*o + m. Let q be 20\/(-6)*o\/8. Solve 0 = -2*x - 3*x - q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3*sqrt(480))\/sqrt(12))\/(-6*-4*sqrt(288)).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 17658 = 5*k + 2429, 9153 = 3*k + 4*j. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560\/11 + 5 + 265\/(-55) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1448715414?\nAnswer: 2, 3, 5849, 41281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 3*r + 419, 2*f - 11*r + 6*r = 149. What is the greatest common divisor of f and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (11 + -2 + -16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*v**4 - 2*v + 9*v**4 - 43*v**3 - 7*v**4 - 2 - 16*v**4 to the form u*v + y*v**4 + m*v**2 + x + p*v**3 and give p.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.103887 from -0.1.\nAnswer: -0.203887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 + 5*u - 93 - 4*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 12, 50, 114, 210, 344?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-175)\/(-1883)) + (-6 - 496\/(-80)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -18\/19 (c) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 9 (c) -7\/4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from jttjtttwttttttj.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**2 + 4*c + 2. Let v be h(-1). Suppose 3 = -2*j - j. Let s(a) = -5*a - 1. Let p(t) = t. Let x(b) = j*s(b) - 6*p(b). What is x(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8998989737 less than 1.06491?\nAnswer: 1.9648089737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 170.4 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109897742 or -109897744?\nAnswer: -109897742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away -70.523?\nAnswer: 70.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 7*p**2 - 8*p - 6. Let w be (-6)\/(-9)*-9*1. Is a(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 111*v**3 + 2*v**2 + 42*v + 12. Let s(f) = -556*f**3 - 11*f**2 - 231*f - 61. What is -11*k(b) - 2*s(b)?\nAnswer: -109*b**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**3\/2 - 2*b**2 - 4*b - 1. Let i(h) be the first derivative of y(h). Let t be (-2)\/(-13) - (-4469)\/(-1417). Determine i(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 1310.\nAnswer: -4\/655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -10110011001010011011001?\nAnswer: 10110011001010011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p + 12*p - 2*p)*(-2 + 4 - 6)*(-p + p + 3*p**2) as w*p**3 + s + l*p**2 + a*p and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 429\/4 + -109. Find the common denominator of 211\/(-110) - (-9)\/15 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2 + 1508*a - 50592 = 0. Calculate a.\nAnswer: -408, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.6 and -38238906.\nAnswer: -38238911.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from pvlar?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 3221?\nAnswer: -75\/3221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + z**2 + 1. Let x(d) be the second derivative of d**5\/5 - 5*d**4\/12 - 4*d**2 + 2*d - 13. Let l = -18 + 13. Calculate l*m(w) - x(w).\nAnswer: w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.717392 years to millennia.\nAnswer: 0.007717392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 59 + -36 + -20?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/1)\/(-7)*(-1705)\/220)\/1.\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 40 - 104 = 0. Let z be 8\/12*n\/8. Suppose -4*u + z*c + 117 = -2*u, 62 = u + 2*c. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 2. Let o be c(4). Let b be 5 - ((-2)\/(-1) - 0). Suppose -o - 24 = -b*n. Solve y + n = -2*s, 0 = -4*s - 0*y - 5*y - 26 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 2\/9 (c) 3 (d) 867 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28648711073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2339889.\nAnswer: 3, 409, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9899*-0.4.\nAnswer: -3959.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5483457 divided by 609273?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32766 - -32765.973553. What is t rounded to 4 dps?\nAnswer: -0.0264","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -10)*(-2 - -3). Let s be 12 - t - (2 - -1). Suppose 4*l - 3*o - 49 = -s*o, 2*o = -6. What is the remainder when 19 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*x - 102, 114 = 4*x - 0*x - 2*b. Suppose -x = y - 25. What is the second biggest value in y, -25, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 7*h**3\/12 + 13*h**2\/4 - 2*h - 7. Solve b(v) = 0.\nAnswer: -4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 226548 and 48?\nAnswer: 906192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 z when three letters picked without replacement from bbbzbbzzzzzzbzzzzz.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 1.2. Let j = -0.007 + -2.993. What is the nearest to r in 1\/9, -2\/11, j?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -368279\/5100 + 1801\/25. Calculate the common denominator of 125\/336 and q.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11011899, -11011895, -11011891, -11011887?\nAnswer: -11011883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10280 in 2\/5, 0.5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 243 - 242 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 11816 = -89*o - 10568 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 9*o**2 + 3*o + 1. Let a(d) = -2*d**2 - d. Let f(w) = w**2 + 22*w + 94. Let p be f(-16). Calculate p*h(y) - 9*a(y).\nAnswer: -2*y**3 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/19700415 and -157\/12758364.\nAnswer: 1339628220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 216?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 8734 = 8758 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229 - -155. What are the prime factors of (f\/6)\/((-1)\/3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271795?\nAnswer: 5, 7, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 30125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -0.2, -166, -2.5, 0.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o. Let d(c) = 1154474374*c**2. Calculate z(d(m)).\nAnswer: -2308948748*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 7*w - 78. Let b be k(-6). Suppose -308 = 4*l - 6*l - v, -l + v + 151 = b. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2 of a micrometer in nanometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z be -26*-3*(-3)\/(-6). Let d = 32 + z. Let k = 119 - d. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 602\/(-2842) + 2\/14. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 750682953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 2*z + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 13*z**2\/2 - 2*z + 17. Is f(3) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/16*(-96)\/(-120)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -23*t**3\/3 + 2. Let f(y) = -y. Determine h(f(c)).\nAnswer: -23*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 595649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -391 or -387?\nAnswer: -391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 190095499 a multiple of 728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534163.\nAnswer: 7, 137, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035682697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -45133484*3\nAnswer: -135400452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2. Let r = -193 + 230. Let t(c) = -13*c - r*c + 67*c. Calculate t(o(k)).\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30, 244, 830, 1974, 3862?\n\"Answer: 31*g**3 - 3*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 46075*x**2 + 33.\nAnswer: -46075*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130722 is divided by 64757?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47946835*i**3 + 107056938*i**2 wrt i?\nAnswer: 287681010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166461049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 971095.2 centuries to years.\nAnswer: 97109520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 2*g + 43, 12*n + g + 2024 = 1017 + 1038 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*l + 12, 5*v - l + 2 - 3 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/5 + 9292479*c\/5 - 464624.\nAnswer: (c + 2323120)*(4*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - -18c0?\nAnswer: 18aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1817.\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6410, 12821, 19232?\n\"Answer: 6411*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19.7 (b) -6 (c) 2354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1584*k*n**3 - 3*k + 14*l**2*n**3 - 16*l**2*n**2 - l**2*n + 545*l*n**2 + n**2 wrt n.\nAnswer: 9504*k + 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 9*a. Let p(k) = -k**2 + 2*k + 4. Let i be p(a). Solve 0*u + i = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -240 and -126?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/153052 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -5. Let i = 6.03 - h. Round i to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/402 + -785\/7638. Let a be (-15 + 14)\/((-2)\/8). Let w be (-5 - -1) + 19\/a. What is the second smallest value in w, z, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49866 + 25866. Let o be (r\/2)\/(6\/4500). Round o to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2508.346 - -2508. What is n rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 + -58. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyzzyc. What is prob of picking 2 y and 1 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 17 (c) 0 (d) -874 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -14 in descending order.\nAnswer: 2, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3)**(-10)\/(d**(3\/16)*d**(2\/19)*d))**(4\/13) assuming d is positive.\nAnswer: d**(-9513\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1512 + 186 = -3*d. Let s(b) = -13*b + 14. Let q be s(8). What is the common denominator of d\/(-105) - -3*(-12)\/q and 113\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*0.13.\nAnswer: -0.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.17 - 0.2. Let j = 16748.030043 - 16748. Let w = j + k. Round w to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 22*h - 69. Let n be l(4). Suppose -5*s - d = -23, -3*s + n = 2*s + 3*d. Let f = -2.2 - -2. Put 0.1, f, 0, s in descending order.\nAnswer: s, 0.1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 12. Let z(l) = l**2 + 5*l + 3. Let s be z(-4). Let t be (2\/(-4))\/((-6)\/(-4)). Which is the closest to f? (a) -5 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*r + 2*r. Is 171*3\/9*r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -99. Let v = q + 70. Let p = 36 - 110\/3. What is the third smallest value in v, p, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 231 - 171. Let i = f + -48. Solve -i*t = -9*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 5, 34 in increasing order.\nAnswer: -5, 4, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 11*o**2 - 2*o + 2. Suppose 5 = f + 2. Let r(h) = -h + 6*h**2 + 0 + f - 2 + 0*h. What is -4*g(j) + 7*r(j)?\nAnswer: -2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*i - 0*i. Let s = 17 + i. Suppose -s*g = -4*t - 96 - 43, 4*t - 8 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603254?\nAnswer: 2, 301627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g + 48. Let j be t(-14). Does 7 divide (-14196)\/260*(-20)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1237*b**3*z - 5*b**3 + 15*b**2*z + 2*b*z + 2*b + 3*z + 192108 wrt b?\nAnswer: -7422*b*z - 30*b + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1662 is divided by 62.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 - s + 133 + 171 - 455.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/5 - 1002*z**3\/5 + 2946*z**2 - 14630*z + 24300 = 0.\nAnswer: 5, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u + 2. Let k be d(0). Suppose 5*w + k*b = -98990, -22*w + 20*w + 4*b = 39620. Round w to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylyn when four letters picked without replacement from ynyllnllnlll?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-1*2 - -2). Suppose -5*g + 13 + 7 = u. Suppose -2*t - c = -19, g*t - 17 = 3*c + 2*c. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*x = -237, 4*x + 69 + 85 = 2*j. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2379627, -4759243, -7138859?\nAnswer: -9518475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97952360*y**3 + 45322337*y**2 wrt y?\nAnswer: -587714160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1335*f**3 + 25 + 1330*f**3 - 3984*f**3 + 1382*f**3 - 25.\nAnswer: 63*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3552587.71115 - 3453846.711. Let j = x - 98735. Let z = -6 + j. What is z rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2145 - 370 - 1721 = 353*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 23*m - 221. Let w(t) = 150*t - 1327. What is 13*c(j) - 2*w(j)?\nAnswer: -j - 219","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-1\/25)*h*h)\/h**42*(h*h*h**10)\/(((h**33\/h)\/h)\/h))**33 assuming h is positive.\nAnswer: h**(-46233\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(1\/4)*b*b))\/(b\/b**(-10))*b**(-16)\/b**(2\/9) assuming b is positive.\nAnswer: b**(-1025\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let x(u) be the third derivative of u**5\/60 + 11*u**2. Calculate r(x(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 - -1.24. Let c = k + 0.96. Let m = 104 - 103.8. What is the second smallest value in c, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3*r**3 + 7*r**3 - 1.\nAnswer: 4*r**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**4\/9 + 248*j**3\/9 - 1274*j**2\/9 + 2056*j\/9 - 344\/3 = 0?\nAnswer: -129, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*f + 46*f - 2233471 - 4574668 = 0. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = 16. Let r = 24 + b. Suppose -r + 21 = f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 14*y**3 + y. Let f be r(1). Let w be ((-12)\/(-18))\/(19\/1710). What is the greatest common factor of w and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -714 less than 5?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27890002 - -27890015.0000072. Let c = 9.6 + 3.4. Let z = c - n. Round z to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*((-5*sqrt(1584)*1 + sqrt(1584))*-5)**2.\nAnswer: -2534400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*m - 77*m = 568. What is the remainder when 207 is divided by m?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -8 - 68. Which is bigger: a or 18?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25)\/10*36\/(-15) + 17. Solve 2*w = a, -w = -4*a - 37 + r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13806 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b + 0*b + 5 + 4*b. Let i be 5 + 0 + -6 - -7. Let m be (4*2 - i\/2)*-1. What is v(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20, 43, 66?\n\"Answer: 23*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15933 and 10951.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1537*h + 15320. Calculate w(-10).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 142342 (base 6) to base 12\nAnswer: 79b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11968\/(-66))\/(-34)*(-426)\/(-355)*(-15)\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46 + -59?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3046370 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m. Let i(k) = -1147*k. Calculate -2*i(c) + 10*q(c).\nAnswer: 2264*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/422 + -449\/3798. Which is the smallest value? (a) -0.5 (b) 0.08 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 10:01 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from ohhyhhoeohohohoovho?\nAnswer: 64\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(2) + sqrt(4)\/sqrt(50).\nAnswer: -6 + 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/(-40) + (-1)\/4. Let k be 3\/(12\/556)*q*1. What is k rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*f + 32 = -140*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 15 + 39 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4836835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 63 (b) 94 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189, -2, -0.2, 5, -30 in decreasing order.\nAnswer: 189, 5, -0.2, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*2\/42)\/(16\/(-28))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**6\/12 + 11*u**3\/6 + 4*u**2 + 10*u. Let g(t) be the first derivative of j(t). Differentiate g(p) wrt p.\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201311201230 - 11?\nAnswer: 201311201213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*l + 102*l + 7 - 147 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**2 + 14*k + 20 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2100110 (base 3) to base 8\nAnswer: 3261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -49. Let n(v) = -v - 1. Let u be n(-6). Let -o*g + u*g + 1 - 3 + g**2 + 3*g = 0. Calculate g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2188*p = 98*p - 33440 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0549299 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 36.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -260232605*g**4 - 452596175 wrt g.\nAnswer: -1040930420*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 820 by 10.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**3 - 4*z**2 - 2*z - 4. Let k(m) = -8*m**3 - 7*m**2 - 4*m - 7. Suppose -7 + 27 = -4*b, 7 = -2*a - 3*b. Determine a*k(i) - 7*l(i).\nAnswer: -4*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/91, 0.06, 110, 9, 2\/3 in decreasing order.\nAnswer: 110, 9, 2\/3, 0.06, 2\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 150*b**2 - 48*b - 38896. What is q(152)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16856 is divided by 696?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18933525 and 324.\nAnswer: 681606900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.58 + 0.12. Let z = -0.6 + x. Which is the second biggest value? (a) z (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -852, -1023, 200, 3513, 9612, 19193, 32952, 51585?\nAnswer: 75788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 873 and 1358.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -5026?\nAnswer: 1\/2513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149252929 and 371.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99\/2 or -51?\nAnswer: -99\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303037 is divided by 1232?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73.8 - -73. What is the biggest value in -1\/2, -3, i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6777?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {n: 4, l: 3}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.0337668 + 0.032494\nAnswer: -0.0012728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 87.61143 centuries?\nAnswer: 876.1143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 2, c: 1, a: 4, j: 2}. Give prob of sequence cbb.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -398 take away 1585622850?\nAnswer: -1585623248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005578478569 to six dps.\nAnswer: -0.005578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(1764)*-3)\/(sqrt(112)*5*-4).\nAnswer: -27*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -3.5?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 = -4*f, -5*f - 30*o = -26*o - 1. Suppose 2*t - 4 - 16 = 0. Put 2, f, t, -3 in ascending order.\nAnswer: -3, 2, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*x - 407 - 491 - 342 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 7*n - 7. What is the units digit of b(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 31.2. Let x = -4.7 - i. Sort 5, x, -0.1.\nAnswer: x, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11169 rounded to the nearest one hundred?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 9:12 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 3.14685, 2?\nAnswer: 3.14685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3069\/(-93)*1\/(-9)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 153 + -157. Let a be 30\/216*b + (-2)\/(-9). Sort 1, a, -0.08, -5.\nAnswer: -5, a, -0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 53 + 63. Let f = u + -20. Suppose 332 + 307 = f*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpr when three letters picked without replacement from {r: 1, z: 1, p: 1, n: 1, f: 5}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8458)\/(-3)*(-5877)\/6. Let v = 8510237 - b. Let z = 19771774 - v. Round z to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.164 + 11.164. Which is the nearest to -6? (a) -165 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 1 - 11. Let i be ((63\/(-14))\/9)\/(u\/16). Find the first derivative of 21*o**4 - 31*o**4 - 2 + 0 + 24*o**i wrt o.\nAnswer: 56*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 534 + 4506 = 0. Suppose -8*n = -1910 + c. Is n a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2000 and 40150.\nAnswer: 1606000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 + -0.6. Let z = 2.9 + y. Sort 3, 0.5, z.\nAnswer: z, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 188*z**2 - 4993*z + 4992. Calculate p(1).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -644 by -2.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 202 - 210. Let m be 0*(o - 35\/(-5)). Solve m = 3*b + s + 12, 12 = -3*b - 0*s + 5*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 334, 482, 608, 706?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -154002405?\nAnswer: -154002400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 5*m - 4*m + 3*m + 3*m - 4*m - 2*m + 3*m + 0*m + (-2*m - 5*m + 5*m)*(0 + 2 - 1).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41637, 41790, 42215, 43050, 44433, 46502?\nAnswer: 49395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22464839741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*h**3 - 137*h**3 - 53*h**3 - 2*h**2 + 4*h**2.\nAnswer: -134*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -25*r + 35*r - 27*r + 2*r**2. Let i be v(13). What are the prime factors of 3\/4 + i\/4?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*b**1))\/b)*b**(-11)*b*(b*(b\/b**(-2\/11))\/b)**(1\/28))**(-3\/4) assuming b is positive.\nAnswer: b**(6429\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -2*y - 226 + 636, -2*y + 0*y - 270 = 4*c for c.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + 0. Let n be 213\/(-12) + (-2)\/8. Let g = -12 - n. Calculate the remainder when a is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121308284?\nAnswer: 2, 30327071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6316.4+-1.434343614\nAnswer: 6314.965656386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + 33*t + 6. Let d be j(-11). Let m(f) = 15*f**2 + d*f**2 - 5 - 20*f**2 - 5*f. Let r(g) = -2*g**2 + 7*g + 7. What is 7*m(o) + 5*r(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s**2 - 98 - 2*s**2 - 135 + 8*s**2 + s in the form t*s**2 + d*s + y and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 343289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/2))**(2\/59)*c**(-1\/5)*c*c**(-7\/6) assuming c is positive.\nAnswer: c**(-739\/1770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -9. Suppose -3*x = 5*j - 4, -j - m = 4*x + 5. Determine k so that -2*k**5 + 2*k**4 + 2*k**3 - 4*k**2 + 2*k**j + 0 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*u - 18 = 0, 3*u - 6 = -4*s - 2. Let j be 3\/(-6) + (-11)\/s. Solve 4*z + 18 = 2*n + 4, -5*z + j = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/5 - (-2)\/(-10). Is -1\/2 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*r**3 - 256*r**3 + 330*r**3 - 250*r**3 - 251*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j + 11*j**2 + 4*j - 2 to f*j + v*j**2 + a and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12968\/10241 + 6\/931. Which is bigger: 12 or h?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38643802 is divided by 1300.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2594*s**3 + 3*s**2 - 6*s + 4. What is the thousands digit of r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379516367 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1150.02 and 0.4?\nAnswer: 1150.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u + 3*o - 22 = 0, -5*u + 45 = 2*o. Is u + -3 + 0 + 243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5634 and 2410726.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-2)*6912\/324 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(104) + -1*-1*sqrt(104) + sqrt(104))*-4)\/((sqrt(56) - (sqrt(1400) - sqrt(1400)*-2))\/(-2*sqrt(700))).\nAnswer: -360*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-7))\/(((-258700)\/(-6370))\/199)\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-2 + 3)\/4. Let x = 158 + -156. Let k be ((-55)\/(-15) - 4) + (-2)\/6. Which is the closest to x? (a) k (b) 0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 - 74*c**2 + 49*c - 19. Let l be r(24). Solve -4*g + 4*j + 40 = 0, 10 = -3*j - l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3 + 142*g**2 + 759*g - 3528 = 0?\nAnswer: -8, 3, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 410\/1025*5\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1085 - 982 = 159*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 1720*y**2 - 1731*y**2 + 33.\nAnswer: -11*y**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556 = 53*t - 27 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -188 + 36 + (108 - -8)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33252 * 1023\nAnswer: 34016796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 4\/349253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 43) + 1592 + -1653\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7137 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 11*l - 2. Let q be j(-10). What is the common denominator of ((-2)\/(-4))\/(q\/(-129)) and 57\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/1401 + -127489\/2802. Let r = 973\/90 - 86\/45. Calculate the common denominator of y and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 4, 14 in ascending order.\nAnswer: 4, 14, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (7 + 0) - -1) + (4 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/1083 and -131\/380?\nAnswer: 21660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*q - 3*q + 236, 0 = -2*z + 5*q + 458. Calculate the common denominator of -21\/5 and z\/12*(-8)\/22 - -4.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 1 - 1 + (7 - 7 - 4*s)*(4*s - 2*s - s) + 4*s**2 - 2*s**2 - s**2 + s**2 + s**2 - 3*s**2)*(0*s + 4*s - 3*s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -160, -323, -486, -649, -812, -975?\n\"Answer: -163*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 154255433 + 32?\nAnswer: 154255505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-1 - (-6)\/2). Let z(n) = n + 5. Let o be (-1)\/2 + (-105)\/30. Let q be z(o). Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217, 878, 1981, 3526, 5513?\nAnswer: 7942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2577, 4, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*v**2 + 583*v**2 + 2200*v**2 - 178*v**2.\nAnswer: 2571*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l - 15. Let y(v) = -2*v - 2. What is the units digit of y(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187\/2*1*(7 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1222295 - -2272705. Round q to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -503\/27 (c) 1 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272585 divided by -424195?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003.66 times 0.1?\nAnswer: -100.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -7806\/7*c**4 + 3632*c**3 - 29356\/7*c**2 - 8\/7*c**5 + 13704\/7*c - 1958\/7 = 0. Calculate c.\nAnswer: -979, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + (-40)\/(-12)*15 is divided by (6 - -8)*20\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 5*b + 21, -4*t + 5*b = -9 - 24 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33994.55 - 9.77874.\nAnswer: 33984.77126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 128620433707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 445512 less than or equal to -9\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 0*v**4 - 27\/2*v**2 + 0*v**5 - 52*v**6 + v - 201 + 0*v**3. Find the second derivative of d(l) wrt l.\nAnswer: -6240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 19*k - 9*k - 12*k as w*k + v and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 11, m: 3}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 502364436, 502364434, 502364432, 502364430, 502364428?\n\"Answer: -2*x + 502364438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + (0 - -11) + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10326196.56 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*f**5 + 6807*f**4 - 5*f**2 + 367566508*f wrt f.\nAnswer: -620*f**3 + 81684*f**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**5 + 19*p**5 - 823*p**2 + 823*p**2)*(4 - 2 + 0).\nAnswer: 40*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 4*p**3 - p**3 + (2*p + 2*p - 3*p)*(1 - 1 - 4*p**2) - 22 - 11*p**3 + 22 + p**3 + 0*p**3 + p**3 to m + z*p**3 + d*p**2 + v*p and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -196.\nAnswer: -5\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/3 - -2)\/((-11)\/(-22)). Suppose -5*k + k = -24. Let d be 30\/8 - k\/8. Solve d*z - 19 = -4*x, 3*z - 2*z - 7 = -s*x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/35 and 61\/1413909.\nAnswer: 7069545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37, -220, -717, -1684, -3277, -5652, -8965, -13372?\n\"Answer: -26*o**3 - o**2 + 2*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*sqrt(2880))\/sqrt(4))**2.\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4*1)\/(-5 + -5). Which is bigger: k or 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 8 + 15 + 2*s - 24*s**2 to w*s + k + v*s**2 and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -235 + 43. Let h = w - -191.758. Round h to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 43 - 108 = -5*i, -4*i - 2*r = -22. Suppose -i*t + 467 = 139. What is the remainder when t is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4590382825?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -9, -2, 2\/13, -4\/5, 30 in descending order.\nAnswer: 30, 3, 2\/13, -4\/5, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0542113366 * -1.\nAnswer: -0.0542113366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*p = 17, 3*a + 4 = -5*p - 17. Let v be a - (3 + 5\/(-20)*0). Is v less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147a71d (base 14) to base 15\nAnswer: -d2193d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -303, -2281, -7571, -17805, -34615, -59633, -94491, -140821?\n\"Answer: -272*n**3 - 24*n**2 - 2*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 0)*(-5*f - f + 4*f) - 3*f + 3*f - 2*f + f - 2 + 2 + 2 - 2 + 2*f - 3*f + 2*f + 0*f + f - 3*f + 4*f)*(-f**2 + 9 - 8 - 21*f + 22*f).\nAnswer: -6*f**3 + 6*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26095461, 104381826, 234859097, 417527268, 652386333?\nAnswer: 939436286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 0.59. Round f to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1111*x - 688*x = -260*x - 7*x + 12256 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {s: 1, j: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (15 - (10 - 25)) - 8 - (-10 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1666506 - -3?\nAnswer: -1666503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = 2*x. Calculate the common denominator of -101\/6 and 0 - x - (-159)\/(-15).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 + 808*l + 36769. Calculate c(-58).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*d = -w + 3425, 5*d - 5*w - 8540 = 0. Suppose -4913 = 4*x + d. What is the remainder when x\/(-20) - (-3)\/15 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -12451*j**4 + 14731*j**2 - 5. Let q(x) = 43578*x**4 - 51559*x**2 + 17. Let v(l) = 5*q(l) + 17*s(l). Find the third derivative of v(b) wrt b.\nAnswer: 149352*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*t = -56*t + 34. Let j(d) = -2*d - 5. Let q be j(-4). Find the third derivative of -5*r**2 + 9*r**2 - 11*r**q + 13*r**2 - 4*r**t wrt r.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 + g**5 + 3*g**5 + (-4*g + 4*g + 2*g)*(-g**4 + 0*g**3 + 0*g**3) + 219*g**5 + 10678*g**4 - 10678*g**4 - 3 - g**5 + 3.\nAnswer: 223*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1) + (-15 - -18). Find the second derivative of -11*u**4 + 4*u - u**4 - 61 + 58 - 5*u**b wrt u.\nAnswer: -204*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p + 136. Let s be k(-21). Let f be 60\/8*(-2)\/s. Let j = 1\/2 - 0. Put -0.1, j, f in increasing order.\nAnswer: f, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17333 divided by 3\nAnswer: 17333\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1285745 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 2, b: 2, m: 1}. Give prob of sequence vbb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 1.926.\nAnswer: -1.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/9, 0, 4, 1.3 in descending order.\nAnswer: 4, 1.3, 10\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 1864.\nAnswer: 39144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-364)\/35 + -8 + 14 + 4?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (11 - 8))\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158450, -158445, -158436, -158423, -158406, -158385?\nAnswer: -158360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -825*l**2 + 23*l - 10 wrt l.\nAnswer: -1650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 66. Let m(l) be the second derivative of 0 - l - 1\/2*l**2 - 1\/3*l**r. Calculate m(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 912357 to the power of 1\/2, to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**5 + 0*o**4 + 0*o**4)*(7 + 4 - 4 + (-1 + 3 - 3)*(2 + 7 - 3)).\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -4*n + 28, -3*l - 15271*n + 15267*n + 8 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6b (base 13) to base 12\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 318504*b**2 - 68022828*b.\nAnswer: 4*b*(b - 213)*(b + 79839)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 - 39 - 14*t - 39 as g*t + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**2 + 3209*h - 17554. Determine n(351).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -28*w + 28*w - w**3 + 9 + 9*w**2. Suppose -2*o - 5*j + 24 = 0, -2*j - j = 4*o - 20. Let a(m) = 2*m**2 + 2. Calculate o*b(q) - 9*a(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*o = 60. Suppose 0 = -4151*q + 4200*q - 38906. Calculate the remainder when q is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211102 - 134142. Does 219 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 51.7. Let j be (-3)\/6*4*(-116)\/(-406). Sort 1, 21, g, j in ascending order.\nAnswer: j, g, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 288\/270 + (-4)\/10. Factor 0*r + j*r**2 + 0 - 2\/3*r**3.\nAnswer: -2*r**2*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 2) + 1 + -2. Let x be 2\/4*12\/(-7). Let n = 31\/28 + x. Which is greater: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 1, b: 4, a: 2, g: 5}. What is prob of picking 1 c and 1 s?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*i + 25 - 25)*(-1 - 1 + 6)*(4 + 1 - 6)*(0 + 6 - 1).\nAnswer: 360*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 + 37*y + 1565. Let d be r(-20). Solve g + 30*v = d*v - 3, g + 2*v = -3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1264073 and -1264029 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - -80. Suppose -4537*t - 306 = -4554*t. What is the smallest common multiple of t and o?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 0.1, 21928?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 6*(-8)\/(-24). Let a be ((-20)\/14)\/(-10)*(-96)\/w. Factor -4\/7*s**2 - 144\/7 - a*s.\nAnswer: -4*(s + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2560 + -2560.2. Sort 1.1, 0.3, z, 4 in descending order.\nAnswer: 4, 1.1, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-8)*(-30)\/(-9). Do i and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251883 is divided by 81745.\nAnswer: 6648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 2*l**2 - 2*l**2 + (-2*l - 3 + 3)*(l - 2 + 2) - 3050*l**2 - 13614 + 13614.\nAnswer: -3054*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 11 = -w, 321*l - 323*l = -3*w + 5. Let n(g) = g**2 + 73*g + 281. Determine n(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -0.3, -1, -1\/2, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-5 - -14 - 17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 4. Let v be c(4). Let u be (2 + 1)*(-4)\/(-3). Let r = 7 - u. Is v < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1, 40, 105, 202, 337, 516, 745?\n\"Answer: r**3 + 7*r**2 + 11*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5113666978817\/8585 + 595651367. Let i = 2\/1717 - h. Put -5, i, 0.04, -0.4 in decreasing order.\nAnswer: 0.04, -0.4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z - 2. What is b(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(34) + sqrt(204)\/sqrt(6))\/sqrt(2))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 13*n - 139. Suppose -n*a = -26 + 26. Which is bigger: 1\/118 or a?\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2\/9 + 3208*v\/3 + 131208 = 0.\nAnswer: -4686, -126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/309 and 73\/3090.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.08, 6, 4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -3361589894022?\nAnswer: 3361589894022.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exh when three letters picked without replacement from {x: 2, e: 1, s: 11, f: 4, h: 1}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (32 + -11 - 12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -139, -1153, -3687, -8431, -16075?\n\"Answer: -115*j**3 - 70*j**2 + j + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -842 + 847. Solve -l*w + 2 = -2*w + j, -j = 5*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -143, -337, -583, -899, -1303, -1813, -2447?\nAnswer: -3223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (124\/(-31))\/(6\/(-144)*-4)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 + -181\/3. Is r bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66\/137725 + 5631849974\/1514975. Let v = b - 3715. What is the common denominator of v and 36\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*m + 558 + 143 - 106 - 30*m - 29*m + 64.\nAnswer: 2*m + 659","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 428 = -w + k, -2*w + 5*k - 829 = 0. Let o = -418 - w. Let a(q) = q + 9. Let m be a(-7). Solve m*i = o*j + 14, 2*i + 3*i = -2*j - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 2, u: 5, h: 1}. Give prob of picking 1 u and 1 k.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(325) + -1.\nAnswer: -1 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -13*b - 234 + 124 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2214 and 69363513.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2883.681 - 2872. Let x = z - 0.681. Which is the biggest value? (a) x (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**1)\/(j**(-5\/6)\/j))**(2\/39)*((j*(j\/(j\/(j\/(j\/(j\/(j**(-2)\/j))))))\/j*j)**(-21\/8))**(34\/7) assuming j is positive.\nAnswer: j**(-29719\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**2 - 1. Let b(d) = 15*d**2 + 3. Let t be ((-100)\/125)\/(2\/(-5)). Give t*b(j) + 7*k(j).\nAnswer: -5*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 9:50 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11494029.\nAnswer: 3, 43, 89101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22443*y - 23265*y + 36799*y.\nAnswer: -8909*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swg when three letters picked without replacement from fmgsszssmgmsw.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7401982 * 0.03\nAnswer: -222059.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkklkklkllll. What is prob of picking 2 l?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11576, 46256, 104058, 184988, 289052, 416256?\nAnswer: 566606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13, 10, 33?\n\"Answer: 23*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3*g + 9. Let z = g + -16. Does 3 divide (z - -8)*(5 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 50 - 105 - 7*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-13) + 441\/91. Suppose -5*q = -d - 35. Let s = 15 - q. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from jjjjppjjpqqj.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f + 790 = -49*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**6\/21 - 8*s**5\/35 - 5*s**4\/14 - 4*s**3\/21 + 39. Solve x(t) = 0 for t.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-3)\/(180\/178). Let f = w - 787\/15. Find the common denominator of f and (-123)\/2*73\/(-657).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve p - 37 = j, 30*p + 17*j = 29*p - 575 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 799 divide 1205455024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -1\/33*x**3 + 1\/22*x**2 + 2\/11*x + 12. Suppose p(h) = 0. What is h?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 4:41 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49407527 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-292)\/(-18) - 6\/27. Let t = 5 - 2. Suppose y - 256 = -t*y. Calculate the greatest common divisor of y and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1236*m + 618*m - 17*m**2 + 18 + 618*m.\nAnswer: -17*m**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, k: 1, u: 4}. Give prob of sequence qqku.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 21 - 7. Suppose -3*r + 1 = 4*n, -n = -r + n + t. Solve -x = r*p - 9, -p - 2 + 3 = x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 759097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13872811 and 9482.\nAnswer: -13863329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y**2 + 8*y + 7. Let c be p(-1). Let i be (c\/(-2))\/(4\/8). Solve 0 = m + i - 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 - -11?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - l = -3*l + 22, l - 36 = 4*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 66330912?\nAnswer: 19899273.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a - 4*z = 0, -5*z + 22 = 3*a. Suppose 3*d = -0*d - a*y + 88, 3*d - 5*y - 52 = 0. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1791 and 60003?\nAnswer: 11940597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 t when three letters picked without replacement from vtubbubzbvbzubuz.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -559*s + 82*s - 1690*s as n*s + b and give n.\nAnswer: -2167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-5)\/(45\/(-48)) + -2. Let i be 16\/10 + m\/(-45). Find the common denominator of (3 - 4)\/i + (-105)\/162 and -29\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -12 + 38 + -4 + 1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**5 - 6*r**3 - 16*r**2 - 3*r**4 + 16*r**2 - 6*r**4.\nAnswer: -3*r**3*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -1 - 0. Let z be 36\/16 + j\/(-4). Suppose 1 = -k + 5. Solve -z*t - 2*t = -c + 21, -4*t = -k*c + 24 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18875769 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2. Let o(l) = 42*l + 14. Give u(o(t)).\nAnswer: -5292*t**2 - 3528*t - 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15904 and 1810571?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 8*w**2 + 35*w - 133. Calculate v(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -32*g + 165. Let p be f(5). Suppose -3*a + c = 10, -4*a + p*c - 7*c = 20. Let n(r) = 2 + 0*r + 0 + 5*r + 2*r**2. What is n(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68\/(-37128)*-63*2\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**2. Let t(o) = 16*o**2 + 25909 + 25911 - 51822. Determine t(i(g)).\nAnswer: 256*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/((-23)\/12*(-19)\/(399\/(-28))). Which is smaller: u or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 3:37 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/69)*d)**(-15)*d**(-4)*d*d*(d*d**46)\/d)**(-47) assuming d is positive.\nAnswer: d**(-31819\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12 from -41.5.\nAnswer: -53.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -3. Let j = m + 9.2. Which is the nearest to 1? (a) -2 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 43 = 4*h, -11*y + 14*y = 2*h + 79. Let s = -34 - -71. Calculate the remainder when s is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 16*i - 10. Let r(n) = 3*n - 2. Let p(t) = -k(t) + 6*r(t). Let f = -14 + 17. Let x(v) = -2*v + 1. Calculate f*p(a) + 4*x(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 38 + 70\/3*t**3 - 70*t - 5\/2*t**2 + 5\/4*t**4. Factor m(f).\nAnswer: 5*(f - 1)*(f + 1)*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -986 + 598. Let j = f + 388.0000564. Round j to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*g = -3*x - 3, 0 = -x + g - 15. Let v be ((-1)\/(75\/6))\/(x\/30). Factor 0*k**3 + 0 + 2\/15*k**4 + 0*k - v*k**2.\nAnswer: 2*k**2*(k - 1)*(k + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 1 e when three letters picked without replacement from rrret?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -16*p - 7. Let x = 28 + -29. What is the remainder when 34 is divided by q(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -91226306.1?\nAnswer: 91226311.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/9)\/2)\/(94*(-97)\/(-54708)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/2826)\/((1728\/54)\/3168*-22)?\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.038 and 41.\nAnswer: -1.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**2*o**2 - n**2*o + 80*n*o**2 + 10*n*o - 3 wrt o?\nAnswer: -2*n**2 + 160*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 + 77009098 - 77009098.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(0*a + a**3 + 0*a) - 4*a**3 + a**3 + 0*a**3 + (0*a + 0*a - 9*a**2)*(0*a + 0*a - 3*a) to the form r*a + i*a**3 + y + k*a**2 and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, -2, 0.02 in increasing order.\nAnswer: -2, -0.12, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 12 = -3*m. Let b(u) = -5*u**2 - 7*u - 3. Let s(r) = 1. Let i(y) = m*s(y) - b(y). Find the second derivative of i(f) wrt f.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 r when four letters picked without replacement from rrqrq.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - i**2 - i + 1. Let g(f) = -29*f**3 + 2*f**2 + 34*f - 2. Let x(c) = -g(c) - 2*w(c). What is the second derivative of x(r) wrt r?\nAnswer: 162*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**3 - 5*o**3 - o + o**2 - 28 + 106441*o**4 - 106440*o**4 to the form l*o**2 + f*o**4 + p*o + x + b*o**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g + 8 = 14*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 19*i = 18*i - 10, 12 = -3*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**5\/40 + j**4\/24 - j**3\/12 - j**2\/4 - 11*j. Factor m(c).\nAnswer: (c - 1)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.096 (b) -1\/72 (c) 0.6 (d) 224.7 (e) 0.2 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8830896 to the nearest integer?\nAnswer: 2972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 11. Solve -7 + y = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 - -155. Suppose -1 + 85 = 2*q. What is the greatest common divisor of q and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(720) + sqrt(720) + -5).\nAnswer: -24*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(45)*1)\/sqrt(3))\/((sqrt(84)\/sqrt(4))\/sqrt(7)) - (3 + sqrt(180) + 1 - (sqrt(180)*3 + 0)))**2.\nAnswer: -104*sqrt(5) + 861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*b - 1598 + 5780. Let s = b + 248. Find f, given that 0 + 9\/5*f**3 - 1\/5*f - 9\/5*f**4 + 1\/5*f**s = 0.\nAnswer: -1\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 92?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 4*w - 56, -2*m + 982*w = 996*w + 28 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4279783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4346 is divided by 1286?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/9*(-9)\/(-24)*237240\/2579985?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 - 28*w**3 - 223*w**2 - 200*w - 48.\nAnswer: (w - 12)*(w + 4)*(2*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 3*o**2 - 2*o - 7. Let r be s(5). Suppose 0 = y - 12 + r. Let b = -15 - y. What is the smallest common multiple of 4 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -66, 201, 842, 1983, 3750, 6269?\nAnswer: 9666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17\/4 (b) 3\/2 (c) 2\/11 (d) -639\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0*g - 2*w + 8, -4*w + 10 = 2*g. Suppose -3*o - g*l = -15588, -8*l - 10399 = -2*o - 3*l. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1349\/308 + 10\/77. Let d = p - -9\/2. Let i = 48 + -48. What is the nearest to i in 4\/15, 1\/10, d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1378490.79 * 1\nAnswer: -1378490.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33735107, -33735072, -33735037, -33735002?\n\"Answer: 35*h - 33735142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1186 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/54*6\/(-4). Let s = 1.9 + -1.69. Let c = -0.11 + s. Is c less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 3*s + 4. Let w(d) = 18*d**2 + 48*d - 66. Let u(i) = -66*j(i) - 4*w(i). Let z(n) = n. Calculate z(u(o)).\nAnswer: -6*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.3 + -33. Let f = 87 + -47. Let h = f - 39.8. Which is the third smallest value? (a) h (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 7*l**2 - 4*l - 2. Give q(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145104 (base 7) to base 14.\nAnswer: a3ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1518, 1539, 1586, 1671, 1806?\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3303490 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8 - 7 + 3*r - 1. Let h(z) = 4*z + 5. Let x(j) = -2*j - 2. Let l(d) = 2*h(d) + 5*x(d). Calculate i(l(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 24057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*z + 30*z + 3*z - 79*z - 159*z.\nAnswer: -262*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/680 and 95\/136.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 + 2*c - 13. Let n be ((5\/20)\/(2\/(-18)))\/((-1266)\/1688). Determine w(n).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 2, -15 in ascending order.\nAnswer: -15, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*y + 18 = 0, -3*i = 2*i - 2*y - 37. Suppose -2*w - 438 = w - a, -156 = w + 3*a. Let n = w - -149. Sort i, -5, n in decreasing order.\nAnswer: i, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*o = 13, -f + 0*o + 5*o - 9 = 0. Solve -5*v = -4*w - 13, w + f = -0*v - v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 0*c**6 + 1\/6*c**3 + 0*c**4 + 0 + 0*c**5 - 5\/42*c**7 - 11*c - 10*c**2. Find the second derivative of i(k) wrt k.\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/180 - u**5\/90 + u**4\/36 + u**3\/9 + u**2. Factor t(y).\nAnswer: -2*(y - 1)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 37286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133432.739994 - 133433. Let a = -0.26 - s. What is a rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 70 (b) 2 (c) -3 (d) -0.1 (e) -3145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 125744, 503560, 1133250, 2014814, 3148252?\n\"Answer: 125937*m**2 + 5*m - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.3 (c) -38 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.383052 decades in millennia?\nAnswer: 0.02383052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2038*r + 1262*r + 3741*r**5 - 2354*r**5 + 1488*r + 3427*r**5 wrt r?\nAnswer: 96280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 - (20\/8 - 3). Suppose -x - 10 = 4*x. Put x, 2, j in decreasing order.\nAnswer: 2, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r + 48. Let y be h(8). Suppose g = u + 29, -y*g + 12*g - 131 = -u. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**2 + 17*d**2 + 18*d**2 + 11*d**2.\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 314365?\nAnswer: -3143.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 189386\nAnswer: -1\/94693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.557 or -0.4673?\nAnswer: 1.557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*k = -216*k - 3703 - 1839 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**2*s**3 + 18216*j**2*s**2 + 4*j*s**3 + 9485*j*s**2 - 5427057*s**3 wrt s.\nAnswer: -12*j**2 + 24*j - 32562342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from uikveui.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -0.5 (c) 0.5 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**6\/2160 + m**5\/240 + m**4\/72 + 4*m**3\/3 - 6*m. Let v(b) be the second derivative of s(b). Solve v(r) = 0 for r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 12, -0.28, -0.1, 0.12, -1\/4 in descending order.\nAnswer: 12, 8, 0.12, -0.1, -1\/4, -0.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6755203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**5\/60 + x**4\/6 - 2*x**3\/3 + 5907*x**2. What is m(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 7\/3*w**3 + 0*w**5 + 0*w**2 + 0*w**4 + 0 - 5\/14*w**7 - 11*w + 0*w**6. Find the second derivative of x(z) wrt z.\nAnswer: -300*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50024855?\nAnswer: 5, 29, 31, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.259 * -3.\nAnswer: 0.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4968 + 4933.67. Let t = g - 0.67. Let x = t - -34.61. Round x to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -0.282\nAnswer: 3.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -22.24, 543\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6) + sqrt(36)\/(sqrt(54)\/sqrt(9)) + sqrt(6)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/8 and ((-2)\/8)\/(3\/(-141)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2431*m**2 - 13*m**3 + 1245*m**2 + 1186*m**2.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2230311 + 2230311 - 7*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-231))\/(44\/242)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6496*h**2*i**2 + 10*h**2 + 5*h*i**2 + 4*h + 3*i**2 - 139214 wrt i.\nAnswer: 12992*h**2*i + 10*h*i + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-6*-1*sqrt(1872) - (1 + sqrt(1872) - sqrt(52)*2)))**2.\nAnswer: -768*sqrt(13) + 53284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -86, 22, 5, -16 in increasing order.\nAnswer: -86, -16, -3, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, -0.5, 0.095 in descending order.\nAnswer: 10, 4, 0.095, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 5*x + 3*d, -4*d - 34 - 18 - 24 = -4*x for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (224\/84)\/(9\/((-189)\/14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 1. Let l be a(-3). Suppose -2*c = l*n - 82, 3*n + 24 - 98 = c. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -27. Let n be -1*(s - (2 + -4))*-103. Let i = -58 - n. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.265 - -4.265. Let s = -0.3 - -0.2. Let g = -1421\/11 - -129. Sort s, d, g in decreasing order.\nAnswer: d, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, 0, 1, -4, 4 in increasing order.\nAnswer: -4, 0, 1, 4, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x + 13. Let b be o(-3). Sort b, 0, -7 in ascending order.\nAnswer: -7, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*h + 124, 0 = -2*u - 5*h + 45 + 197. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 = 189*r + 810 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnvpuvunv. What is prob of sequence npuv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.518 less than 619.4?\nAnswer: 621.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53078 rounded to the nearest 100?\nAnswer: 53100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 1399*h**6\/120 - 127*h**5\/10 + 8*h**2 + h. What is the third derivative of c(p) wrt p?\nAnswer: 8394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - p - 14 = 0, 4*f - 12 = -p + 4. Which is the smallest value? (a) 1\/7 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 40 = -235. Let o = s + 57. Suppose -4*p = -3*g + 26, 0 = -g - 2*p - o*p + 30. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8357 is divided by 249?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(12)\/(sqrt(6)*-1)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in -5, -285, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.967171317 rounded to four dps?\nAnswer: 0.9672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 10 - 8, 5*x = 2*f - 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(14\/3)*n*n))\/n)\/(n\/(n\/(n\/((n\/((n\/((n*(n\/(n**(-18\/5)*n*n))\/n*n)\/n*n))\/n))\/n*n)))) assuming n is positive.\nAnswer: n**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/5, -8, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2810, 5621, 8432?\nAnswer: 11243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 0 - 6*a - 1\/48*a**4 - 1\/24*a**3 + 0*a**2. Solve t(i) = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -689446\/7 or -98493?\nAnswer: -98493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**4 + 1109349936*w**3 - 76916077812750352*w**2 - 307664324563200768*w - 307664329000600576 = 0.\nAnswer: -2, 138668744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*w + 12 = 0, 2*w + 0 = -2*l - 8. Suppose 0*x + 4*x + 13 = -5*h, -2 = x + h. Let a = -23 + 32. Solve x*b - a + 0 = l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + 5*(2 + sqrt(125) + 2 + -5)*-6 + 5))**2.\nAnswer: -262500*sqrt(5) + 2843125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(143)*-1 - sqrt(143)) + sqrt(143)*2*-4)\/((-2*sqrt(1100) - (sqrt(1584) + 1*sqrt(1584)))*-4).\nAnswer: -5*sqrt(13)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.158867um in kilometers?\nAnswer: 0.000000000158867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**3 + 13694506*u**2 - 23442429975750*u - 23442443670258 = 0?\nAnswer: -1, 3423627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 168 = -4*r, -602 = -370*p + 374*p - 2*r. Which is smaller: p or -1632\/11?\nAnswer: -1632\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -2*w**3\/3 - 3012*w**2 - 4536072*w + 965. What is s in a(s) = 0?\nAnswer: -1506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 3 (b) 1\/5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (2*399)\/3. Let u = o + 805\/3. Which is smaller: 1\/4 or u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 289*w - 234*w - 5225. What is the highest common factor of 817 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + p + 1)*(-1 + 3 - 1)*(21 - 18 - 26) as b*p + l and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/24516 and 43\/2278626.\nAnswer: 41015268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3 + 1991*w**2 = 0. What is w?\nAnswer: 0, 1991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1573) - sqrt(1573)) + 3 + -3 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/108 and 8795\/660 + 5\/55 + -2?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(673\/((-858075)\/(-13005)))\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + y = -13 + 74, 5*k - 5*y - 85 = 0. Let z(q) = -14*q + 3. What is the remainder when z(-5) is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 y, and 1 o when three letters picked without replacement from ooyyyoyqooyyyyqcyo?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 - -329. Let k = -80 + w. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/11 - 12*g**3\/11 - 2*g**2\/11 + 12*g\/11.\nAnswer: 2*g*(g - 6)*(g - 1)*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01001 + -0.01001. What is the closest to 2\/9 in -2, y, 16?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 0*h**2 - 3*h**2 + 6*h + 5*h**2 + 1 - 14 - 10. What is the lowest common multiple of q(3) and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 j when three letters picked without replacement from {j: 5, p: 9, i: 3, t: 1}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0, -18, -4, -6 in decreasing order.\nAnswer: 0, -4, -6, -18, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 9:46 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1102003 (base 4) to base 9\nAnswer: -7174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1813 or 1817?\nAnswer: 1817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -347507*a*c**4 + 3*a*c**3 + 39*a*c**2 - 1201*a - 6*c**4 + 1804*c**2 + 1 wrt c.\nAnswer: -8340168*a*c + 18*a - 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 319*l**2 - l - 1. Is j(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -73594*r**3 - r**2 - 4*r - 3. Let v be c(-2). Let j = v + 31247. Round j to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1166*q**3 - 2*q**2 + 140341*q?\nAnswer: 6996*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 77.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/8*(-4)\/6. Let x be 2\/(-17) - 385\/51. Let u = -8 - x. Which is the closest to g? (a) 5 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 80. Let d be g(0). Suppose 0*n + d = -8*n. Suppose 71 = -5*m - 4*b, -51 = 6*m - m - b. Which is bigger: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 2*q**3 - 4*q + (q**2 + q**2 - 4*q**2)*(-2*q + 2*q - 2*q) - 19*q**2 + 2*q**3 - 65*q**2 + 28*q**2 in the form n*q**3 + a*q + u + c*q**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 1 - 1202*z**3 - 2*z**2 + 1208*z**3. Suppose 10 = 205*r - 195*r. What is y(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4338 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + 2 - b**3 + 2*b**3 + (-2 - b + 2)*(-36 + 36 - 46*b**2).\nAnswer: 47*b**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**3. Let d = 1 - -2. Suppose -3 = q + 2*j, d*q + 6 - 17 = 4*j. Calculate c(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 - 5.3. Let d = 2 + l. Let i = 1.2 - 0.7. What is the smallest value in d, i, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3918154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 51564876 = 5*f, -4*q - 759127 - 50805737 = 5*f. Let c = f + 4012976. Round c to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 27\/47?\nAnswer: 27\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 l when four letters picked without replacement from lzzzzibbiulg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 31*c**2 - 4*c + 2. Let k be n(1). Let i(f) = -f**3 + 28*f**2 + 39*f - 63. List the prime factors of i(k).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/3556 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 17*y. Let j be a(17). Suppose -4*s + j*s + 32 = -5*g, -2*g - 8 = 0. Solve -7 + 4 = s*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**43\/((((d*d**(-2\/3))\/d*d)\/d)\/d*d*d**(-3)*d*d) assuming d is positive.\nAnswer: d**(134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.087914 * 1522\nAnswer: 133.805108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(135)\/sqrt(81))\/(6*sqrt(80) - sqrt(5)))**2.\nAnswer: 3\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/6 - ((-16)\/6 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3730 divided by -1\nAnswer: -3730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - 90*d - 61. Is q(-26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**6 + 4*i**3 + 73*i**2 - 2*i.\nAnswer: 480*i**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i + 36. Let w = 1834 + -1827. Give a(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcv when three letters picked without replacement from vvjmvcvjvcmv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*l + 44 = -4*l - 3928*u + 3924*u, -46*l - u - 371 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**3\/4 - 3*t**2\/8 + 3*t\/2 + 12. Suppose x(r) = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**2 + 1\/30*r**5 + 0*r**3 - 1\/30*r**6 + 0*r + 0 + 0*r**4 + 1\/105*r**7. Factor s(j).\nAnswer: 2*j**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(126)\/sqrt(7))*-6)\/(sqrt(24)*2)*-6.\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16356840 rounded to the nearest 10000?\nAnswer: -16360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*9\/27*(1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 384.4, 12, 0.4 in descending order.\nAnswer: 384.4, 12, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 4*w**2 + 3*w + 4. Let q be 1\/((8\/6)\/4). Let c be n(q). Suppose r - 4*o - 9 = 5, -c*o + 42 = 3*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7\/(y*y*y**(3\/2)))**(-12\/5) assuming y is positive.\nAnswer: y**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*v - 113 = -44 + 103. Sort -2, -4026, v in descending order.\nAnswer: v, -2, -4026","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.006 + 1.006. Let o = w - 2. Is -0.9 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.08. Let k = f + 0.28. Which is the second smallest value? (a) 3 (b) 1\/6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -692 divided by -27.\nAnswer: 692\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (6 - 2) + -5 + 192 + -143.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 3, 3196.\nAnswer: -4, 1, 3, 3196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3950*l**6 + 157*l + 4 + 43*l + 49*l - 3 - 2*l**2 - 90*l wrt l.\nAnswer: 474000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2535\/4 - (-9)\/(-12) - 1?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h. Suppose 0 = -2*x - 3*r + 211, -2*x + 5*r - 7*r + 208 = 0. Let i(s) = -105*s - x*s + 216*s. What is a(i(f))?\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -29 + (43 - 3)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - 2 - s + 6)*(11*s - 36*s + 6*s + (0 - 2*s + 0)*(0 + 0 + 2) - 2*s + 0 + 0) to the form h + u*s + y*s**2 and give u.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -2)\/1*4304\/(-16). Let f = -273 + v. What is the second biggest value in 3\/8, 5, f, 0.3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50 - -3?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -9) + -11 + (2 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1472 and -4.\nAnswer: -5888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*f**3 + 15*f**3 - 5*f**3 - 16*f**3 - f**3 + 4*f**3 + 4*f**3 - f**3 - 4*f**3 + (2*f + 2*f - 2*f)*(-1 + 1 + 2*f**2) + 2*f**3 + f**3 - 4*f**3.\nAnswer: 45*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10890270043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -43580 * 0.0081\nAnswer: -352.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 41*f**3 + f**2 - f. What is the tens digit of a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 10 = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 6*o - 1. Let b be j(4). Let t = b - -2. Suppose -4*f - 15 = -t*f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41521, 166056, 373613, 664192?\nAnswer: 1037793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0259 - -0.9741. Which is the second smallest value? (a) q (b) 14 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 54432.97 nanograms?\nAnswer: 54.43297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6314634b + 1?\nAnswer: 63146350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1731*y**2 - 1739*y**2 + 1736 - 1736.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429525 is divided by 85889?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 309573 by 11.\nAnswer: 28143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**3\/6 - t**2\/2 - 5*t. What is the remainder when 228\/16 + (-2)\/8 is divided by v(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355014*z = 354604*z + 16400 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 >= 5462\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 divided by 223?\nAnswer: 220\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**2 + 8*y**2 + 10*y**2 + 7*y**2 + 11*y**2.\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/14 and 133\/5934336?\nAnswer: 41540352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 100624, -1\/10, -8, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*g - 50, 5*f + 37 + 8 = g. Calculate the remainder when (-1)\/(-4) - 62\/f is divided by (6\/10)\/(2\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -3 - 20\/(-12)*3 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 563.\nAnswer: 5067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o - 11. Let w(h) = 3*h + 5. Let y(m) = -2*a(m) - 5*w(m). Let p be y(-6). Let i(d) = -p*d - 7*d + 16*d - 10*d. Let b(z) = 2*z. Determine b(i(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181 + 629 = 477*m - 2052 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5512360?\nAnswer: 2, 5, 7, 19687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 11\/4 (b) 109 (c) -0.6 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + k - 17, 11 + 18 = 5*f + k. Suppose n - 20 = f*n. Is 1*(-3 - -84) - n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -228, -920, -2080, -3714, -5828, -8428?\n\"Answer: -s**3 - 228*s**2 - s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79 and 8611.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 28340*n + 4502640. Calculate v(-158).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638 is divided by 489.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 13. What is the remainder when l is divided by 6 - (-9)\/(-3) - -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 5*q + 9*r - 60, 0 = -4*q - 5*r + 35. Calculate the remainder when 38 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 9:14 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 274\/43571 or 1?\nAnswer: 274\/43571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3673 and 7?\nAnswer: 25711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 818 - 412 - 4*r - 406 - 2*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5242832439.\nAnswer: 3, 13, 3313, 40577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 479 and 6733.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 409 = 9*m + 3*s - 265, -4*s - 167 = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 6)*(4*u - 4*u - u) - 1 + 1 + u - 4*u - 2*u - 2*u + (2*u - 2*u - u)*(0 - 1 + 0) + 0*u + 3*u - 2*u + 213 + 10*u - 213 as o + i*u and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 4*n + 18. Let m be z(-6). Solve m = -f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 23*w**3 + 2*w**2 + 2*w + 2. Give z(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -477, -1902, -4279, -7608, -11889?\n\"Answer: -476*s**2 + 3*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2832 minus -0.4?\nAnswer: -2831.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2, -1\/5, -0.08, -1\/11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2. Suppose -21*c + 46 = -17. Let z(s) = -c*s**2 + 21*s - 32*s + 4 - 1 - 3. What is f(z(k))?\nAnswer: 18*k**4 + 132*k**3 + 242*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - s**2 - 2*s**2)*(s + 2 - 2)*(1780 - 168 - 6605 - 6650 - 2457).\nAnswer: 14100*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:03 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34428 > 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l + 10 - 467 = 733. What is the remainder when 696 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/3)\/(16\/(-24)). Let r = -243\/7 - -2159\/63. Is c greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - f + 5*f)*(-38 - 41 + 76 - f**2)*(-2*f + f - f) as x*f + g + j*f**4 + h*f**3 + r*f**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.3. Let u = -1.78 - -1.98. What is the smallest value in u, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5034 + -5033.8. Which is the biggest value? (a) -89 (b) -43 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7 - (-9 - (15 + -29)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 4*d + 48. Let t = 24 + d. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2331 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 - -880304?\nAnswer: 880331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 202 + -190.9. Let z = -11 + n. What is the closest to -2 in 0, 2, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 9:08 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*t - 227 = 0, 5*p - 677 = -3*t - 99. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40627\/8026832 + -2\/8503. What is the common denominator of x and 31\/8?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67680?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5332628297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwlluwjjrlwwlwwllrww. What is prob of sequence wwrw?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 2*t**2 + 4. Let l be j(3). Let f = l + 24. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1858.\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 - 453*n**2 - 105*n - 15588. What is v(-151)?\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 7, 4, -1 in decreasing order.\nAnswer: 7, 4, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3)\/(-6)*4*3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 63. Let r be ((-3)\/6)\/(1\/s). Differentiate -7*j**4 + 47*j**4 - 6 + r - 4 with respect to j.\nAnswer: 160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1327 + -567. Suppose 0 = -13*m + 17*m - l. Suppose 0*k = 5*k - m. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8*q**2 - 6*q - 6. Let r(w) = 3*w - 14. Let d be r(7). Let z = 2 - 1. Let n = d - z. Let o(v) = 9*v**2 - 7*v - 7. Calculate n*o(s) - 7*i(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 5, 1, -0.2, -2\/5 in descending order.\nAnswer: 5, 1, -0.2, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 226 (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19418 = -608*z - 185*z - 54310 for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let w(b) = 14*b. Give 8*a(p) - w(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1903765 is divided by 126917?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 21 = 7*p. Let r(o) = -14*o**2 - 4*o - 3. Let k be r(p). Let f be 6\/27 + k\/27. Sort f, 8, 3 in decreasing order.\nAnswer: 8, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a day in minutes?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 285?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -216466250 divided by 325?\nAnswer: -666050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 467*w - 5128. Give k(11).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.4 + -18.573. Let h = y + 0.1799. Round h to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1332, -1323, -1300, -1257, -1188, -1087?\nAnswer: -948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/4 + -4)\/(-10 + 11)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 31. Suppose 2*v - j = 5*v. Let x(m) = 2*m**2 + m - 1. Let l be x(-2). Put v, l, -3 in increasing order.\nAnswer: v, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1621725.046 to the nearest 100.\nAnswer: 1621700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 707789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + m + 2 = -3, 5*y = 5*m + 25. Let j be 1\/1 + 1 + y. Suppose -j*s = -s - 1. Solve 3*w + s = 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4376241 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39590960, 79181916, 118772872, 158363828, 197954784, 237545740?\nAnswer: 277136696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 530388 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -2\/19 (c) 8 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, -52808, -4 in increasing order.\nAnswer: -52808, -4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 8cc7?\nAnswer: -8cc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18808712 - -0.03.\nAnswer: 18808712.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**4 - 9*z**2\/2 - 119*z - 2. Let f(m) = m. Determine c(f(v)).\nAnswer: -12*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2843*h - 6*h + 29887 = 11558 - 41500 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16398617.5999961 + -16398619. Let w = 1.4 + r. Round w to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + 3 + (0 - (-2)\/2). Let w be ((-4)\/t + 1)*(-95)\/57. Suppose 0 = -3*d - 2*d - 15. Sort w, 0, d in descending order.\nAnswer: 0, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in 467, -3, 0.3, 0.01, -2.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -19014 equal to -18963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/5)\/w)\/(w\/(w*w**(-3))))**15\/((w**(2\/7))**30\/((w\/(w*(w*w**(-5))\/w*w))\/w**(-3))) assuming w is positive.\nAnswer: w**(-368\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -466, -944, -1448, -1984, -2558, -3176, -3844, -4568?\n\"Answer: -j**3 - 7*j**2 - 450*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -15*v + 6. What is the tens digit of h(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**4 - 16952*z**3 - 17875540*z**2 + 180641952*z + 198500544 = 0 for z.\nAnswer: -2124, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -16, 4.1, -0.4, 12\/5, 5 in increasing order.\nAnswer: -16, -0.4, 12\/5, 4.1, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 43*l - 2340. What is the remainder when 232 is divided by l?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 418*c - 190. Let j(p) = -13*p + 6. Let d(b) = -95*j(b) - 3*t(b). Let u(y) = 5*y. What is d(u(q))?\nAnswer: -95*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 8 = -104. Calculate the remainder when 15\/(-30) - (-93)\/2 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -287, 8357, 0 in descending order.\nAnswer: 8357, 0, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-230)\/(-1380))\/(1\/10*-1).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/3230 and 27\/2584.\nAnswer: 12920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -10*r**4 - 70*r**3 + 80*r**2. Let s(o) = o**4 + 8*o**3 - 9*o**2. Let c = 171 - 206. Let u(b) = c*s(b) - 4*n(b). Solve u(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/58 (b) -0.2 (c) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 15*j - 21. Let n(t) = -7*t + 10. Calculate 6*d(u) + 13*n(u).\nAnswer: -u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 100011110100110100 (base 2) to base 10\nAnswer: 146740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -94, 0.3 in increasing order.\nAnswer: -94, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 363339?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 81750.\nAnswer: 2370750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 52. Find the third derivative of 3*d**4 + 35*d**y - 43*d**4 + 10*d**4 wrt d.\nAnswer: -720*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*h = -146*h - 10, 0 = 5*z + 3*h - 4290. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/5 - -6)\/((-6)\/(-116)). Let d = -81 + u. What is the greatest common factor of d and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-41775)\/(-47345)*(-4 + 2)\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -89. Calculate the highest common divisor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452*f + 2*f + 36000 = 0. Let o be (-4)\/12 + 62\/6. What is the greatest common factor of o and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*i = 179*i - 4. Let y be (-12)\/(-9) + 2\/(-6). Let p(v) = -2*v**3 - v**2 + 1. Let s(f) = f**3 + f**2 - f - 1. Calculate i*s(w) + y*p(w).\nAnswer: -w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 + 3*p - 4. Determine x(4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 22*j**2 - 16*j - 20. What is the smallest common multiple of c(-2) and 80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0158 and 22.1.\nAnswer: 0.34918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8672337\/120 + (-3)\/(-24) - (-27)\/(-45) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from ycneneneeycx?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1194 divide 1230382374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 33*j**2 + 35*j - 805. What is the remainder when s(-31) is divided by (9\/2)\/(1\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0.1. Let r = -75739 - -75724. Which is the closest to -1? (a) k (b) -7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0 = -18. Find the common denominator of 1 + 2 - 69\/2 and b\/(-8)*25\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**3 + 855*n**2 - 12000*n - 62000 = 0.\nAnswer: -4, 20, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*p + 3*p, -2*l - 5*p = 6. Suppose 0 = u + l*u - 81. Calculate the remainder when u is divided by (56\/6)\/(6\/9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-6)\/(-10))\/(14\/35))\/(-3). Let t = 5 - 10. Let j = t - -4.6. Which is the closest to p? (a) 5 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14382, 28801, 43220, 57639, 72058?\nAnswer: 86477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 239859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**4\/12 - p**2\/2 - p. Let c be z(-5). Let f be c\/4*(-21)\/(-9). Solve -2*t = 6, w + 3*t = -4*w - f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a**2 + 1884*a - 116910. Determine p(51).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1834380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 5:45 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 110\/25 + (-182)\/5. Is (-2)\/8 - 3\/(i\/399) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 16. Let r be x(11). Suppose -p - f = -3, 4*p + 2*f - r = f. What is the least common multiple of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**2 - 122*z**3 - 4*z**2 - 221*z**3 + (-2*z + z - 3*z)*(z**2 + 4*z**2 - 3*z**2).\nAnswer: -351*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 483db + -3?\nAnswer: 483d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c - 11*c + 7*c. Let q(s) = -13*s**2 - 2*s. Give q(t(b)).\nAnswer: -13*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1298\/10 + 4\/20. Let y = -20 + -28. Let o = y + w. What is the remainder when o is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-111999)\/2 - 3\/6. What is w rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3 - 64*h**2 + 142*h + 204 = 0?\nAnswer: -34, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 857 + 767 = 0. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -57, -117, -191, -285, -405?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2)*12\/18*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - h = -3*u - 989, 2*u + 493 = -h. Let p be -2 + 3 + -1 + 38\/u. What is the third biggest value in 0.4, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -1\/300*g**6 - 1\/20*g**4 + 0 + 2*g**2 - 1\/50*g**5 - 1\/15*g**3 + 0*g. Factor c(t).\nAnswer: -2*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197, 397, 597, 797?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2164609 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -8. Let p be 6\/21 + y\/14. Let u(r) = 56*r**2 - 167*r + 112. Let n be u(2). Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17017 and -0.51.\nAnswer: 17016.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 15 = -3*p, 2*a - 82*p - 25 = -87*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3720 - -6947. Suppose g = 3*q + 5*g - 2428, 0 = -4*q + 5*g + o. What are the prime factors of q?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 24*k**2 - 23*k + 45. Let b be r(23). What is the units digit of b\/(5 - -4) + -1 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 = -0*h. Let c be (-2)\/4 - h\/4. Factor 2\/3*o**3 - 2\/3*o**2 + 2\/9*o + c - 2\/9*o**4.\nAnswer: -2*o*(o - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1590?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -4 + -2 + 6 - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002222210 (base 3) in base 2?\nAnswer: -101010101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1aa117 (base 13) to base 10\nAnswer: -679062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 21252464.\nAnswer: 1\/21252464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2277.693 and -1.26.\nAnswer: 2869.89318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 13 + 904*b**3 - 13 - 2*b**2.\nAnswer: 904*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 413922?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 55 = 2*d, -5*o + 69 = 5*d - 31. Let i = o - -80. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3601*u - 73. Let z(g) = -1800*g + 40. Calculate -6*v(w) - 11*z(w).\nAnswer: -1806*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2*p = -8, -4*x + 6 = 2*p - 0*p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3\/29, 1, 62 in decreasing order.\nAnswer: 62, 2, 1, 3\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -891 divided by -11.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = -326. Suppose h = 4*w + 47. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27 - (-2)\/4*4) + -2. Suppose 4 = d - g. What is the remainder when d - 4\/4 - -3 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/3*6\/(-30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 3 (c) -136 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*k = -62*k + 200. Let n be (-1)\/(-5) + k\/(-50). What is the highest common factor of 61 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -32, 4, 28363 in ascending order.\nAnswer: -32, 1, 4, 28363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*i**3\/11 + 114*i**2\/11 - 246*i\/11 + 126\/11 = 0. Calculate i.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 26 = 4*d, -3*d = -15*t + 10*t. Suppose -7*p + 36 = d*p. Solve -p*k + k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**4\/24 + 5*d**3\/3 + 5*d**2. Let p be c(-7). Solve 12 = -m - p*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -21669 and -21680 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 * 2132.\nAnswer: -100204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 130228799741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27815044 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -526184 (base 11) in base 15?\nAnswer: -119a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37030966*m + 60239860?\nAnswer: 37030966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84.8 + 85. Let k = 4\/5 + -13\/10. Which is the closest to k? (a) v (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.86 + -16. Let a = d - -0.44. Put a, -2, 0.2 in descending order.\nAnswer: a, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12754, 50992, 114722, 203944, 318658, 458864, 624562?\n\"Answer: 12746*n**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (-6 - (-20 + 10))) + -43.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -218758 - -352242. Let q = s - 133485.69934. Let t = q - -1.7. Round t to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 4*y - 2*y + 2 - 2 - 2*y + (-2*y + 4*y - y)*(-3 + 0 + 2))*(y**4 - 12*y**4 - 3*y**4).\nAnswer: 56*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96261031 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -13*g. Let k(t) = -38*t**2. Calculate j(k(x)).\nAnswer: 494*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(((-16)\/(-5))\/4). Suppose -182 = 4*p - 66. Let q = t - p. Put -3, q, -2\/5 in decreasing order.\nAnswer: q, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 34. Let k = 13.4 + l. Let r = -1.6 - -0.8. Sort k, -0.5, r in increasing order.\nAnswer: r, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 10*y - 504 = 0. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156749 - 198851 = 5080*a for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5 + 17\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6120\/50)\/(-18) + 6. Which is the closest to -9? (a) -5 (b) f (c) -2\/5 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192 - 186. Let w(h) = -4*h + 24. Determine w(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 12. Let a be 1 + 2 + 2 - w. Suppose -3*f + a = 2*g + 14, f + 3 = -2*g. Solve g*d = -4*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 249 - 1)*(-6)\/7. What is the highest common factor of 144 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 6*n - 2*n + 4 + 2 - 2 + 2*n + (-1 + n + 1)*(-1 + 1 - 2) + 0 - 2*n + 0 - 1 + 1 - 2*n + 0*n - n + 3*n - 3 + 3 - 2*n.\nAnswer: -12*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.68? (a) 5 (b) -0.1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1801146112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104511 divided by -241.\nAnswer: -104511\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 15*s - 24. Give z(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2*z**(-4\/5)*(z**(-1\/3)\/z)**4)**(-2\/75))**46 assuming z is positive.\nAnswer: z**(5704\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -214608 (base 13) in base 6?\nAnswer: -24423313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 219488450, 219488451, 219488452, 219488453, 219488454, 219488455?\n\"Answer: m + 219488449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1540*g - 2883. What is the remainder when q(-3) is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2 = -8. Let n = 0 + r. Suppose 40 = 4*i - n*i. What is i rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 + 27 + 1 + 3. Let v = -27 - t. Is v at least as big as -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**2. Let p(c) = c - 5. Let t be p(5). Let l(w) = -3*w + 3*w + 2*w + t*w. Give l(s(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2075*r + 91300 = 2085*r. Round r to the nearest one hundred.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25137, -50262, -75387, -100512?\n\"Answer: -25125*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3200757 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2298, 11206, 26046, 46812, 73498, 106098, 144606?\nAnswer: 189016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 9. Let t = r - -15. Suppose 2*c = 0, -3*c - 94 = -5*g + 2*c + 26. Calculate the greatest common factor of t and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 251.\nAnswer: -3012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 + 76 = 4*o. Let r = o + -30. Let t(p) = p - r + 0*p + 13. Let x(m) = 2*m. Give x(t(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3009 > 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 6 (c) -22 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 = -h, 29 = 5*x - 3*h + h. Suppose 0 = -x*f, -3*j - f - 44 - 31 = 0. Let n = j - -27. Calculate the least common multiple of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 12:33 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, e: 3, p: 1, t: 2, b: 3, l: 1}. What is prob of picking 1 p and 1 b?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 144217 and 144197 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -112*s - 2. Let a(n) = -2*n - 19. Let z be a(-16). Suppose z*i + 19 = -7. List the prime factors of v(i).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -4*n + 171. Let h = n + -18. Let l(o) = 11 + o - 3 - h. Let w(c) = 5*c. Determine l(w(b)).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 0 + 0)*(-o - 2*o + o) - o**2 + 3*o**2 - 3*o**2 + (-3*o + 0*o + 4*o)*(3*o + 5 - 5) to s*o**2 + f*o + n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**5\/30 + 28*x**4\/3 + 3136*x**3\/3 - 125*x**2 - 65. Let s(a) be the second derivative of f(a). Factor s(k).\nAnswer: 2*(k + 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(405)*2 + (2*sqrt(405) + -2 + sqrt(405) - sqrt(405)) + -3 - (-5 + (6*(sqrt(405)*-1 + sqrt(405)) - -4*sqrt(405)*-1)))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204.06 - 204.07. Is -8\/15 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 13) to base 4.\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 55, -4, 0.\nAnswer: -12, -4, 0, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 318.151 + -318. Let n = 9 + -8.83. Let d = o - n. What is d rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5, -0.5, 813, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(((-9)\/8)\/3). Let k(u) = 0 + 3*u - 4*u - 1. Let c be k(-1). Solve -h = -4*d + 2*s, -d - 4*s = -c*s + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -14*v + 24. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 57 = 4*o - s, 15 = -3*s. Let t be 2*(-2 - (2 + o)). Suppose 4*y - 2*y + 2*n = t, 5*y = -4*n + 74. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 2ed9?\nAnswer: 2edf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -9)*8\/(-6)*(-42)\/(-28).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18429 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 72*j - 30*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 210 - 119. Suppose -864 - 925 = -27*n - 1087. What is the remainder when h is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 52*n + 31*n - 3.\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11251 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 21*b**2 - 38*b + 43. Is 2 a factor of n(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**4*v**12*(v\/v**(2\/7))**(-49) assuming v is positive.\nAnswer: v**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 221 + 3160 = -3*i, 4*m + 4*i - 4468 = 0. What is the greatest common factor of 102 and m?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 110\/9 + ((-180)\/81 - -2). Which is the nearest to -3? (a) t (b) 3\/7 (c) 2\/7 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2. Let a = -28 - -30. Let m(f) = -3*f**2 + 4*f**a - 3*f**2 + 4*f**2. Determine m(j(y)).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/(-35))\/(2*1*-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9.996 - -35\nAnswer: 44.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 363 and 1902?\nAnswer: 690426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -55*x - 156 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5266743 (base 8) to base 12.\nAnswer: 578883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.2 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10270158 by -1383.\nAnswer: 7426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 42*u**2 - 80*u - 65. What is x(40)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/2917 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j + 4. Let g(n) = n + 1. Let v(o) = 3*g(o) - r(o). Let d = -5 + 3. Let c(w) = -w**3 - 9*w - 9. What is d*c(u) + 18*v(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3641, -6840, -10039?\nAnswer: -13238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 22 + 208 = y, 455 = 2*y + 5*n. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2922155.\nAnswer: 5, 53, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171774 and 88608.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**4 - v**3 + 2*v**2 + 6*v. Let w(z) = -3*z**4 - z**3 + 5*z**2 + 13*z. Let r(s) = 5*h(s) - 2*w(s). Let r(d) = 0. What is d?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**2)\/x)**(-16))**30*(x\/x**1)**(-27)*(x*x**(-4))\/x**7 assuming x is positive.\nAnswer: x**950","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (9 - 6)) + 19 + -23.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 3*l + 1. Let i be m(3). Solve -3 - i = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 436191*f - 3925784. What is g(-9)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0993 - -0.0993. Which is the third smallest value? (a) 2\/9 (b) q (c) -2\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 + 38374*r + 268667 = 0. What is r?\nAnswer: -7, 38381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -5) + -1 + 12 + -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/5)\/((-4)\/(-10)). Is b\/(-1)*(-21)\/6 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2683 + -16?\nAnswer: -2699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/105*162\/12 and -27\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22655 + -67973\/3. Which is the smallest value? (a) -11 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 10*k**2 - 28*k - 155. What is g(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10089 = -39*s - 2367. Suppose -9*d = s - 1008. Is 89 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2102330 - -5?\nAnswer: -2102323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 17, b: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 1, o: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzqu when four letters picked without replacement from {q: 6, u: 10, z: 1}.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 34 = 5*m, 19 = m + m + 3*p. Suppose 7 + 3 = -2*k, 0 = 5*s - 5*k - 175. Solve -y + m*z + s = 4*y, y - 5*z = 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f - 4 = 0. Suppose f + 11 = 3*k. Let t be (7\/(-6))\/((-1)\/2)*(10 + -1). Solve 2*c + 2*c + n = 0, -k*c = -4*n - t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.26 and -2412296993970.\nAnswer: -2412296993969.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -919b6 + 4b8?\nAnswer: -914ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w = 10. Let j = w + 18. Calculate the remainder when j is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 12*k**2 - 5*k - 10. What is the units digit of c(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/(-21))\/((-24 + 48)\/(-168)). Is c at most -537\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 8*y**2 + 10*y + 8. Let m be u(-9). What is the units digit of m\/(-3)*(4 + 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*r - 6, -5*i = -i + 3*r - 9. Which is the nearest to 2? (a) 4\/3 (b) -38 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3963, -3, -5, 5 in ascending order.\nAnswer: -3963, -5, -3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4176 divided by -174\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-9))\/(3\/9). What is the third derivative of r**4 + 2*r**4 + r**2 + 3*r**4 - 2*r**w wrt r?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b + 35. Calculate x(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + ((-1 - -1) + -14 - 98) - 2.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 38\/9, -3.4, -2, 0, -0.3 in ascending order.\nAnswer: -3.4, -2, -4\/7, -0.3, 0, 38\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 1, o: 2, a: 2, u: 7, s: 4}. Give prob of sequence eo.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 10*j - 13*j = -9, 0 = -2*q - 4*j - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123404474\/1873 + -65886. Let x = 694867\/7492 - o. Let i = x + -90. Which is greater: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(120)*3)\/(sqrt(90)*6))\/(-1*sqrt(8)\/(-4*sqrt(32))).\nAnswer: 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -19?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(22)\/sqrt(8) + sqrt(44)*3 + (sqrt(55) + sqrt(5500)*4 - sqrt(55))\/sqrt(5))*3.\nAnswer: 5 + 279*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 - 2*w - 1. Let j(r) = -2*r**3 + 7*r**2 + 10*r - 3. Calculate -j(p) - 3*y(p).\nAnswer: 2*p**3 - p**2 - 4*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/432 and -49\/12.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -36. Suppose a = -l*c + 24, 0 = -a - 2*c - 3 + 28. Suppose 0 = -6*u + 351 - a. Is 27 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 741721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**2. Let h(y) = 22*y - 2*y - 12*y. Give b(h(d)).\nAnswer: -320*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, q: 2, t: 4, m: 3}. Give prob of sequence qtq.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56574204 or 56574203?\nAnswer: 56574203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuwuuuuuuuuuuuwuuu. Give prob of sequence wwu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1583 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 716, 2132, 4246, 7058, 10568, 14776, 19682?\n\"Answer: 349*q**2 + 369*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/(494\/57 - 8). Let v(q) = -q**2 - 5*q + 7. Let t be v(5). Let g = t - r. Solve 3*d - 10 = g*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + -1*sqrt(288) - sqrt(288))**2*2 + (2*(0 + sqrt(288)*-1))**2*6.\nAnswer: -192*sqrt(2) + 11524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w - 23 = -5*b, -4*b - 4*w = -4. Let p(y) = b*y**2 + 4*y**2 - 2*y**2. Let f(g) = 2*g. Determine f(p(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1937 - 1919. Let r = 72 + -55. Is r at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/85)\/((-1 - 0)\/3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.23? (a) 49835 (b) -2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y + 12 = -19*y, -3*d - y + 19 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (5 - (2 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n - 12. Let k be x(2). What is c in k*c - 19\/4*c**2 - 15\/4*c**3 + 1 = 0?\nAnswer: -1, -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a**3 - 21*a**2 - 2*a + 2. Let x(s) = -81*s**2 + 0*s + 1 + 82*s**2 - s. Let f(b) = -l(b) + 2*x(b). What is the third derivative of f(n) wrt n?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 735911568?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y - 11. Let p be 6*((-3)\/1 + (3 - 1)). Let u(j) = 20*j + 32. Calculate p*u(h) - 17*b(h).\nAnswer: -h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3189772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -365, -723, -1081, -1439, -1797, -2155?\n\"Answer: -358*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 27*z**2 + 2. Let p(i) = 6*i. What is r(p(g))?\nAnswer: 972*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71782.69 milligrams in micrograms?\nAnswer: 71782690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 46 = 7*m. Suppose 0*k - m*k - 75 = 0. Is ((-211)\/(-4))\/(k\/(-60)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 + 7 + 2 + (11 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 173)*(-10 + (-2618)\/(-28)). What is the highest common factor of 87 and v?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -68. Suppose -2*t - 30 = -7*t. Suppose 20 = -z + t*z. Put q, z, 5 in ascending order.\nAnswer: z, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - 1. Let t be i(2). Suppose -3*o + p = t*p + 10, -3*o + 2*p + 14 = 0. Solve -o*f - 14 = f - s, 4*f + 2*s = -12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -28*g**4 + 13*g**3 + 33*g**2 - 29*g + 3. Let h(z) = -19*z**4 + 9*z**3 + 22*z**2 - 19*z + 2. Let d(x) = -8*h(x) + 5*m(x). Solve d(q) = 0 for q.\nAnswer: -1, 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 171, 175, 191, 225, 283?\n\"Answer: a**3 - 3*a + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1889946, -3779896, -5669846, -7559796?\nAnswer: -9449746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, -4, 3, 8, 1\/5, -0.052?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/24*384\/4472 + 8\/(-52)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.0524129 nanoseconds to hours.\nAnswer: 0.00000000000112567025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/25*30\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*o + 4690 = 0, -167*x - 4618 = -172*x + 4*o. Calculate the highest common divisor of 50 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2075 + -1226. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 27*m - 45. What is b(-14)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39, 63, 87, 111, 135, 159?\n\"Answer: 24*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1487 and 2293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9765446 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let j = -3 + 9. Suppose 13 = 4*x + 5*t, 0 = -2*x + j*t - 2*t. What is the units digit of o(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.897 + -0.103. What is the nearest to -3 in u, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 - 13*y**2 - 403 + 1333 - 390 - 441.\nAnswer: -y**2 + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {r: 1, z: 1, i: 1, h: 1, c: 2, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -41, -5 in descending order.\nAnswer: 3, 0, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvxd when four letters picked without replacement from {c: 3, d: 7, v: 1, x: 2, u: 1}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-63)\/14*4\/3. Let i be 39\/15 + z\/10. What is o in 1\/2*o**4 - o**2 + 1\/2 - o**5 - o + i*o**3 = 0?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 + -182 - -8 - -97\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14421 and 1240833.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, p: 2}. What is prob of sequence pp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmbhhxxpp. Give prob of sequence ppm.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 9:56 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165461*g - 165435*g - 165544*g + 496434*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30424923 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 132.\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 12 - -6 - -7. Let o(m) = 37*m**2 - 5*m. Calculate the least common multiple of 15 and o(w).\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 2551960?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -1018*y**4 + 89*y**3 - y**2 - y + 5560. What is the third derivative of f(l) wrt l?\nAnswer: -24432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*l - 48*l + 13*l - 6*l**2 - 40 to o + c*l**2 + n*l and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d - 7. Let n(r) = 4*r + 1932 - 3861 + 1923. Give 7*n(w) - 6*z(w).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -104 from -31099.12.\nAnswer: -30995.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-15) - -2*369\/30. Solve -1 = h*k - 26*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (((5*-2*sqrt(156) - sqrt(156)) + sqrt(156) + sqrt(156))\/sqrt(12) - (sqrt(143) + 4*-1*sqrt(143))\/sqrt(11)))**2*1.\nAnswer: 60*sqrt(13) + 2345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18223 and -5591148.\nAnswer: -5609371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/7, 0.4, -2721, -6 in increasing order.\nAnswer: -2721, -6, -5, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + 22 + (3 - (-1 - -14 - -2))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8298094?\nAnswer: 2, 7, 397, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-8\/5)*g*g**(3\/7)\/g assuming g is positive.\nAnswer: g**(-6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from mimjdjmpjmmmmimimim?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2071966.\nAnswer: 2, 13, 79691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kddtwntnrtndktt. Give prob of sequence rwkk.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 102.\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 12 (c) -11 (d) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -71 - 10. Solve -5 = g*t - 8*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**4\/12 - 23*i**3\/6 + 109*i**2\/2 - 41*i. Let k be p(7). Let v(c) = c**2 + 5*c + 2. What is v(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/60 - d**4\/12 - d**3\/6 + d**2. What are the prime factors of c(5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 3, 564, -12 in increasing order.\nAnswer: -12, -5, -1, 3, 564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116 + -87 + (0 - -2) + -4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 699 (b) -106 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 + 46*r**2 - 816*r + 2312\/3.\nAnswer: -2*(r - 34)**2*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21960 and 7320.\nAnswer: 21960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03819420289394 + 44.\nAnswer: 44.03819420289394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1395 at least -1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2. Let r(o) = -124*o**2 + 19*o. Let u(k) = 186*k**2 - 27*k. Let q(l) = 7*r(l) + 5*u(l). Give z(q(n)).\nAnswer: 3844*n**4 - 248*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3\/8, 5, 4, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 2. Let s(u) = 4*u + 3. Let c = 171 - 167. Let v(i) = c*s(i) + 6*t(i). What is v(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1914 + -1882. Calculate the greatest common factor of n and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -27. Let z = y + 22. Let o(l) = -l**3 - 7*l**2 + 8. Calculate the least common multiple of z and o(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298*y + 282*y - 160 = 0. Which is the nearest to y? (a) 6\/11 (b) 5\/4 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 3*n + 38. Let w be q(0). Are w and 38 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-15)\/2))\/(21385\/8225)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 5, -2\/5, -2\/9, -65, 0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119.209 + -0.209. Let f = -119.000071 + t. What is f rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13566867, -27133662, -40700457, -54267252?\n\"Answer: -13566795*a - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n - 5. Let s be p(-7). Suppose 0 = -2*r - 2*j + s, -3*j - 22 - 29 = -3*r. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/14 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 12*f + 12 = -14*f, 5*o + 3*f = 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*q + 299*q - 6 = 0. Solve -86*a + 21*a**3 + 96*a + 34*a**3 - 4 + 4 - 65*a**q = 0.\nAnswer: 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -38*a - 30. Let y be f(-15). Suppose -h = 5*h - y. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -29*l**2. Let c(a) be the first derivative of -2*a**3\/3 - 40. What is b(c(s))?\nAnswer: -116*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202 - -12190373237?\nAnswer: 12190372035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*c, c - 2 + 23 = 4*d. Suppose q = 15 - d. Let w = q + -10. Put 0, -3, w in increasing order.\nAnswer: -3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190799904 divided by 12?\nAnswer: 15899992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1009, 1178, 1323, 1432, 1493, 1494, 1423?\n\"Answer: -2*v**3 + 183*v + 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 94, -8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 13. What are the prime factors of 25 - 1\/q*3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2717 divided by -7\nAnswer: -2717\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = 6, 0 = 5*j - 2*m - 13. Suppose 4*o = 3*y + 183, y + j + 2 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 31593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2844064, -5688110, -8532156, -11376202?\nAnswer: -14220248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exx when three letters picked without replacement from dsexsxx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 58*o**2 - 2*o. Let n be w(1). Suppose 0 = 5*r - 85 + 15. Suppose -z = i + z - r, -n = -4*i - 3*z. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177128 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2142 (c) 0 (d) -5 (e) -0.4 (f) -21 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13319767.\nAnswer: 191, 69737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 80520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.3. Put -9, -0.3, g, -1\/2 in descending order.\nAnswer: g, -0.3, -1\/2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110000101010 - -101011010?\nAnswer: 100110110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 26 - 557674*r.\nAnswer: -557674*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42 and -1.5?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 + 2*u**2 - u. Let g be b(1). Is (g\/1 - 6) + 320 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 21*x + 31. Let w be f(4). Which is smaller: w or 117?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(sqrt(120)\/(sqrt(1210)*-4 + sqrt(1210) + sqrt(1210)))\/(sqrt(16)\/sqrt(100) - (sqrt(4) - sqrt(48)\/(sqrt(12) - sqrt(48)))))**2.\nAnswer: 625\/3267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/(27\/(27\/2)). What is the highest common factor of t and 7410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.1 - -2.1. Let p = t + 28.5. Let y = p - -2.2. Which is the second smallest value? (a) -4 (b) 6\/5 (c) y (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8614 and 2336?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1166, 1167, 1168, 1169, 1170?\n\"Answer: j + 1165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -10. Let u be (-9)\/o + 1*-3. What is the units digit of (-38)\/u - (-52)\/(-39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3445 - 3425 = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4686, 8, 0.5, -0.27, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10*k - 3. Let x be i(2). Let m = -8 + x. Let o(u) = -17*u**3 - 4*u**2 + 9*u - 1. Let a(c) = 4*c**3 + c**2 - 2*c. Calculate m*a(g) + 2*o(g).\nAnswer: 2*g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 40?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f - 1095. Let m(q) = -11*q. What is j(m(o))?\nAnswer: 66*o - 1095","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6763 + 6763 = 15*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 22*s - 3. Let y be p(3). Suppose -4*r - 4*l + 26 = 2, 2*l + 4 = 2*r. Suppose r*a - y = a. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 4 = 2*n, -8 = 69*n - 73*n - 3*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) + 12\/30. Suppose 4*i = p - 8, r = p - 2*p - 4*i. Suppose -2*y - p*q = -3*q - 33, -2*y + 18 = -4*q. Solve -5*m + 5 + y = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5*w**2 + 5 + (-w + w + w**2)*(-2 + 1 - 1) - 2*w - w**2 + 2*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 60 = n. Suppose 0 = -r + n + 3. Suppose -2*w - w = -r. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, 1\/7, 26, -0.4, -97, -24\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -34*a + 182. Let d be (-94)\/470 + (0 - 4\/a). Put d, 2, -30 in increasing order.\nAnswer: -30, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -402*n**6 + 11036*n**4 - 41*n**2 + 215916 wrt n.\nAnswer: -48240*n**3 + 264864*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11*n - 5. Let s(c) = c - 7. Let o(d) = -6*d - 10. Let x(v) = 9*v + 14. Let a(g) = -7*o(g) - 5*x(g). Let y(i) = 5*a(i) - s(i). Give 7*j(q) + 5*y(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*l + 3*v - 25, -l + 5 = -2*v. Let a(h) = 3*h - 7. What are the prime factors of a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3 = 0, 0*u + 3*w = -3*u - 21 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195 - 132. Calculate the greatest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56005, -3, -4 in increasing order.\nAnswer: -4, -3, 56005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, 0, 5 in decreasing order.\nAnswer: 9, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39566.\nAnswer: 2, 73, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141990451\/21 - 6767136. Let m = 5688 + q. What is the common denominator of m and 107\/70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 4, 2\/9, 0.07, 18 in increasing order.\nAnswer: -2, -1, 0.07, 2\/9, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 + l**2 - 3*l**2 + 2*l + 3*l**2 + l**3 to d*l**2 + c*l**3 + q*l + g and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1225092 - 1225092.02000028. Let n = g - -0.02. What is n rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 2*q + 2*q)*(-5 + 2 + 1) - 14*q + 3*q - 7*q as l*q + d and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*d + 2*b, -4*d + b + 3 = -8. Suppose 0 = -d*i + 6*i - 10. Solve p - 2*o = 11, o + 9 = i*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2116951, 4233934, 6350917, 8467900, 10584883, 12701866?\nAnswer: 14818849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 786555 >= 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 283716.75 rounded to the nearest 10000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3246 = -161*f + 296 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -58*n - 523. Calculate y(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57720678, 57720673, 57720664, 57720651?\nAnswer: 57720634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 11:54 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101*q**4 - 13286*q**2 - 4478778*q wrt q.\nAnswer: -1212*q**2 - 26572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2. Let w(v) = 13164*v. What is o(w(q))?\nAnswer: 693163584*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**2 + 960*n + 11618 wrt n?\nAnswer: 4*n + 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/24)\/1*6*3\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4299, -30043, -98639, -231513, -450091, -775799, -1230063, -1834309?\nAnswer: -2609963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87340, 174180, 261018, 347854, 434688?\nAnswer: 521520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14044185 + -572790.\nAnswer: 13471395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -54 (c) -7 (d) -5 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 77*z = 114912. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 - -113. Suppose x*s - 1816 = 16. List the prime factors of s.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1063766384 divided by -66485399\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(6\/(-72) - 2\/8). Let w(i) be the third derivative of i**5\/5 + i**3\/6 + i**2. Determine w(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-1\/2)*k)\/k)\/k*k**15\/k)\/(k**(3\/5)*k*(((k**11*k)\/k)\/k)\/k*k*k*k) assuming k is positive.\nAnswer: k**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**3 + v. Let u(p) = -p + 9. Let m be u(8). Determine w(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1878274 (base 12) in base 13?\nAnswer: -10aa964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-22) + 31528\/2288 + -14)*4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = -3*i, 5*i - 2*w + 22 = 2*i. Let k be -1 + -1*2 + (24 - i). Suppose -82*q - k = -83*q. Solve -4*u - q = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 1. Let m(f) = f - 1. Let o(c) = 7*c - 6. Let a(l) = 6*m(l) - o(l). Let r(g) = 5*a(g) - b(g). Calculate r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 271*k**2 + 4315*k - 27. What is r(-17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + y - 14 = 0, y - 37 + 28 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.37 + -20.369998507. What is g rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*g - 75, 0*g - 4*g = h + 60. Let s = g - -11. What is the tens digit of (-30192)\/(-216) - s\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38251 and 26303.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 1 - a + 21*a**3 + 38*a**3 + 76*a**3 + 28*a**3 + 2*a**2 in the form l + v*a + m*a**2 + d*a**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23795063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -4 (c) -22380\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67510323899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31951542 to the nearest integer?\nAnswer: 5653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (228*g**2 - 320*g**2 + 166*g**2)*(0 - 2*g + 0)*(-2*g**2 + 0 + 0).\nAnswer: 296*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 5*h**7\/168 + 17*h**6\/120 + h**5\/5 + h**4\/12 - 21*h. Suppose t(s) = 0. What is s?\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 - 1.32. Let u = -0.2 - m. Let d(p) = -p**2 - 3*p + 7. Let y be d(-5). Put u, y, 0 in decreasing order.\nAnswer: u, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-10)*600\/(-16). Suppose w = -4*w - x. Let h(g) = -g + 2*g + 0*g + 0*g. Give h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -46. Suppose 2*z - 7 = 3*z + 5*w, 2*w = -6. Suppose -2*o = -z - 2. Sort 2, o, j.\nAnswer: j, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/13, 51, 2\/9 in increasing order.\nAnswer: -2\/13, 2\/9, 0.3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 294459125 to the power of 1\/2, to the nearest integer?\nAnswer: 17160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21521366 is divided by 8986?\nAnswer: 8882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 2436*n + 19232.\nAnswer: 4*(n - 601)*(n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 5, d: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 7 = a, a + 13 = -r + 4*a. Let s be 0 + (0 + 0 - -2). Let w = s - r. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-8\/5))\/(((y*y**(-2\/11)*y)\/y)\/y*y))\/(y**1\/y)**(-2\/157))**(-37))**(1\/33) assuming y is positive.\nAnswer: y**(962\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1136)\/852*6\/(-4). Determine j, given that -4\/9*j**4 + 0 - 4\/9*j**3 + 0*j**w + 0*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-12)*(0 - 4). Let i(s) = -2*s**2 - s + 2*s - 6*s**3 + 7*s**3. Let w be i(1). Which is the second smallest value? (a) q (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -840 - -531. Let k = -306 - w. Let a be ((-6)\/22)\/((-21)\/(-14)). Put k, a, -2 in descending order.\nAnswer: k, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 14*p + 5. Suppose t = 3*g - 608, -5*g + 612 = -3*t - 400. Let m = g + -191. Give o(m).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 320?\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/18818 (b) 1\/7 (c) -0.3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11139360 is divided by 238.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (4 + -6)) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 14 = 9*f. Let y be 1*(0 + 1)*(10 - f). Suppose -170 = -5*b + y*h, 17 + 119 = 4*b - 3*h. Calculate the remainder when 135 is divided by b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*l*l\/l**5*l))\/l**(-4)*(l**1*l)**16)\/(l**(2\/5)\/(l*l**(-2\/5)\/l)*l**2\/l**(-2\/11)) assuming l is positive.\nAnswer: l**(1871\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-192)\/(-208))\/(14\/13). Let g be (-2 - -4)\/(-6)*-9. What is the second biggest value in 5, 8, b, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 403.51*-0.2\nAnswer: -80.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -86, -88, -90, -92, -94?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 + 2715*w - 43252. What is v(16)?\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/6 - 20*r**3\/3 + 59*r**2 - 79*r + 1. Let v be k(17). Solve 2*d + 7 = 5*a - 2*a, 4*d = 4*a - v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81040.39 millilitres to litres.\nAnswer: 81.04039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -330743 less than -3369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + sqrt(98) + 0 + 2 + -2 + sqrt(98)*-1 + sqrt(98) + -2)**2.\nAnswer: -70*sqrt(2) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veevvvvveveeeeee. What is prob of picking 2 v?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebye when four letters picked without replacement from yeybyyee.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 910?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 12:51 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 76 - -5 - (7 + (-5 - -13))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -36 - -18.34\nAnswer: -17.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, -4, 2 in increasing order.\nAnswer: -144, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -836 - -4182\/5. Let y = 10.5 + -10. What is the biggest value in -0.1, x, y, -2\/19?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1593 + 17521\/11. Which is the second biggest value? (a) n (b) 10 (c) -0.4 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1492*y - 68*y - 177*y to the form b*y + c and give b.\nAnswer: -1737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 - -74. Suppose -4*d - 2 = -v*d. Let s be (12 - 0\/d) + 0\/(-3). What is the greatest common divisor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/15 - (28\/15 + -2). Put -2, q, -1\/8 in descending order.\nAnswer: -1\/8, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/65*-175 + 11649\/330.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 5*f + 8 + 31, -3*f - 3*v - 9 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**3 - 287*c**2 - c + 4*c**3 + 1 + 268*c**2 to j + l*c + v*c**3 + a*c**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1088) - (sqrt(1088) + sqrt(1088) + sqrt(1088) + 2))**2*5.\nAnswer: 320*sqrt(17) + 21776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 5*m + 5, 0*m - 3*m + 2*j + 2 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -330608 - -1?\nAnswer: -330607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 583928 and 4888?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-1))*(w*w*(w*w**18)\/w*w)\/w)**(-25) assuming w is positive.\nAnswer: w**(-475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 10*y**2 - 4*y**2 - 8*y**2.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 1, r: 5, j: 4, n: 2, y: 7}. What is prob of picking 2 y and 1 o?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0.3, -32, -255 in increasing order.\nAnswer: -255, -32, -16, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 13*b - 12. Give t(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 3, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (18 - 7) - -645. Let d = z - 222. List the prime factors of d.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 123587303 + 1019827328 = 4*k, 0 = 4*k - g - 896239995. Round k to the nearest one million.\nAnswer: 224000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-45)*21)\/(61\/305).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 34*y = -37 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69300 and 239565150.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 162*s = -94*s + 1210 - 427 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = 150, -36*u - 37*u - 44*u - 2*k = -116*u + 54 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 152?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(153) - -2*sqrt(153)*6)*2)**2.\nAnswer: 103426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3479 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 9120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(1 - 3)*-72. Let f be (-146)\/w + 8\/108*-3. Is -1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 9 - 13)*(10*j - 11*j - 11*j)*(3*j - 1 + 1) in the form z*j**2 + x*j + r and give z.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19774566 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 101688*q - 2394. Let r(j) = -511*j + 12. Determine 2*n(c) + 399*r(c).\nAnswer: -513*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 4 + 4)*(3*k + 0*k - k) + 2*k**2 - 2 + 2 + (-15 + 16 + 982*k - 980*k - 69*k**2)*(-2 - 1 + 4).\nAnswer: -71*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*j**3*q**3 - 2*j**3*q - 121*j**2*q**3 - 123*j*q**2 + j*q - q**3 wrt q.\nAnswer: 48*j**3 - 726*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021374097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 9*x + 7. Suppose 43*c = 45*c + 12. Calculate m(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 415.1435 kilograms?\nAnswer: 415143500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 0*w**2 - 2 + w**3 + w**2 - 3*w**2. Is n(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35029974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1823, -1819, -1813, -1805?\nAnswer: -1795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y - 2*y + 4*y. Let q(l) be the second derivative of 5*l**3\/6 - 867*l. What is q(a(x))?\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.3. Suppose -10 + 5 = -5*v. Let y = 0 - 0. Which is the closest to v? (a) y (b) w (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17671.\nAnswer: 41, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 12) to base 8.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53\/((-27825)\/(-50))*3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 18*t**2 + 11*t + 4. Let i(x) be the first derivative of 3*x**3 + 3*x**2 + 2*x + 241. What is -11*i(f) + 6*u(f)?\nAnswer: 9*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2*v - 2*v)*(13*v - 7*v - 12*v + (-2*v + v + 2*v)*(-1 - 1 + 0) - 2*v - 3*v + 3*v + 2*v - 5*v + 2*v).\nAnswer: 22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {f: 5, v: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17083 divided by -404.\nAnswer: -17083\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/12*-4 - (-1 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 131300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94184339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-100)\/30 + (-27)\/((-648)\/(-448))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 11*o - 1. Let m be v(-4). Let x be 18\/4*(-120)\/m. Suppose -2*t = 4*b, -3*b + 5 = -2*t + x. Calculate the smallest common multiple of 1 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*w = 87*w - 20740. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 4725.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -34a11 (base 15) to base 3\nAnswer: -22111221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18109 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 2:01 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 1643*q**2 + 5706*q + 16352. Give o(818).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 4*n + n + (3 - 2 - 2)*(-3*n - 3*n + 5*n) - 3*n + 0*n + n)*((-2 - 4 + 5)*(36 - 296 - 50) + 3 - 1 + 0).\nAnswer: 312*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*g**3*q**2 - 7399239*g**3 - 3066852*g**2*q**2 + 3*g**2 + 2*g with respect to q.\nAnswer: -18*g**3*q - 6133704*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.4899 + -23.5. What is a rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 12 = 3*f, 2*g + 2*f = f + 1. Suppose 2 = 7*c - 8*c. Let p be (6 - 2) + (c - -10). Solve -3*l - r = -l + 6, g*r = -3*l - p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5860*k + 5496. What is m(1)?\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137983843?\nAnswer: 599, 230357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.63 plus 9?\nAnswer: -77.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-88)\/11 - 2)*(-3)\/(15\/2774) is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9442535, 9442530, 9442513, 9442478, 9442419, 9442330?\nAnswer: 9442205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*w**2 + 15*w**2 - 5*w**3)*(-23 + 23 + 5*w) to u*w**2 + d*w**4 + n*w**3 + g*w + b and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 23\/8 of a hour?\nAnswer: 10350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7498 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 15 - 50 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2366, -9708, -21960, -39128, -61218, -88236, -120188?\n\"Answer: -v**3 - 2449*v**2 + 12*v + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 172 (base 13) to base 12\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 0)\/(2\/(-13)). Let v = 14 + y. Let x = 6 - 1. Solve 0 = -x*u - v + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + -314023?\nAnswer: -314002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65494 + 65477.0931. Let c = 229 + -212.1. Let h = c + m. What is h rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 266.628 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71b (base 13) in base 16?\nAnswer: 4b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114 + 337. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -3 - 4) + (9 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/(-6) + 4\/12. Differentiate -9*u**j + 20*u**4 + 9 + 3*u**4 with respect to u.\nAnswer: 56*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jojooj. Give prob of picking 2 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 10:40 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-8\/3))\/f**4 assuming f is positive.\nAnswer: f**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4081*s. Let w(k) = -9*k. What is w(u(o))?\nAnswer: 36729*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6565071 and 4938.\nAnswer: 2469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.301 + 0.069. Let d = x - 0.47. Sort d, -12, 4.\nAnswer: -12, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -6 (b) -11 (c) 7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97228244?\nAnswer: 2, 19, 1279319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u**2. Suppose 3*b + 2*b - 4*m = 64, -5*m = b - 36. Let w = 13 - b. What is the least common multiple of 8 and y(w)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -5 (c) -1\/2 (d) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 70104 = 2*k - 9*v, 105134 = 3*k + 4*v. Is k a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-49266)\/969)\/161 - (-656)\/2318\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3639 - -14.\nAnswer: 14.3639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -96979504?\nAnswer: 96979502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*x + 4*u, -2*x - u = -x - 8. What is the remainder when 11 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f - 194 = -4*u, -2*u + 8 = 26*u - 24*u for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616920.\nAnswer: 2, 3, 5, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 8317, -691, -3, 0, 9 in descending order.\nAnswer: 8317, 9, 0, -3, -691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 24\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/6224 and 39\/1055984.\nAnswer: 410777776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24, -56, -88, -120, -152, -184?\n\"Answer: -32*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - l = -17*y + 133, 0 = 3*y - 24 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8401 + 210078\/25. Calculate the common denominator of -73\/45 and f.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8151462 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30723 and 483.\nAnswer: 706629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17059079, 17059089, 17059121, 17059187, 17059299?\nAnswer: 17059469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 940009, 940320, 940845, 941590, 942561, 943764, 945205?\nAnswer: 946890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 z, and 1 u when four letters picked without replacement from {i: 8, u: 6, z: 1, p: 1, j: 4}?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -946.32? (a) -4 (b) 0.3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-64)\/8)*13\/(-130).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 + 11*p + 12. Let j be a(-1). Solve 0 = -9*z + 4*z + j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -14. Suppose z = -4*s - 2*z - 20, z = -i*s - 8. Let f be (-16)\/s + 16\/(-4). Solve -h - f*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39671701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -29, -10, 37, 118?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 8. Let q be (-2)\/(1 + 0 + -2). Is x greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*u**3 + f*u**2 + 2*f*u + 3*f - 421*u**2 + 20 with respect to u.\nAnswer: 6*f*u**2 + 2*f*u + 2*f - 842*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281885042?\nAnswer: 2, 2417, 58313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 11:51 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 + 4*l**3 + 8*l**3 + (-l**2 - 2*l**2 + 5*l**2)*(2*l - 6*l + 2*l) + 4*l**3 - 2*l**3 - l**3 + 4*l**3 - 4*l**3 + l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*n**3*v - 2925*d**2*n - 6*d*n**2 + 29*n**3*v + n**2*v - v - 4 wrt d.\nAnswer: 4*n**3*v - 5850*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -3 (c) -0.3 (d) -0.01 (e) 161\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27904 divided by -2\nAnswer: -13952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/43))**31 assuming s is positive.\nAnswer: s**(-62\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 412 (c) -2\/21 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 3095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/4)\/(j*j\/(j**(-2\/3)*j)))\/(j**(-2)\/j*j**(-5)))\/((j\/(j**2*j))**3)**(-40) assuming j is positive.\nAnswer: j**(-2801\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 252611.\nAnswer: 75783.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 88, -16131, -32350, -48569, -64788?\n\"Answer: -16219*m + 16307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 5 + 95. Suppose -s - m = 2*m + 8, 5*m = -5*s - y. Let j = s - -9. Solve j*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 1.9 (c) 3243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3572 and 0.2?\nAnswer: 3572.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 2*p + 10*a, -7*a = p - 6*a + 5. Let n(s) = -11*s**3 - 4*s**2 + 12*s - 1. Let i(f) = -5*f**3 - 2*f**2 + 6*f. Calculate p*n(m) + 5*i(m).\nAnswer: -3*m**3 - 2*m**2 + 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6390 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 154*d + 3490. Determine p(-20).\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 6 + 6. Suppose 18 = -k + 5*x, x + 0*x = -4*k - 9. Put k, 5, n in decreasing order.\nAnswer: 5, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 15*r - 3. Let f be j(-15). Let v be 10*(-5)\/(-75) - 10\/f. Solve -v*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from qqtakzkvz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5, 19 = 4*x + 2*k - 11. Let v(p) = 2*p**2 + 21*p - p + p**2 + 5*p**2 - 498*p**3. Let r be v(x). What is r rounded to the nearest ten thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2576*l**2 + 207*l + 207. Let o(m) = -25*m**2 + 2*m + 2. What is -207*o(s) + 2*t(s)?\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 443*v - 782*v + 4 + 324*v. Let i(q) = -q**3 + 6*q**2 - 2*q - 6. Let t be i(5). Let o(x) = 7*x - 2. Determine t*o(p) + 4*u(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 6*b + 5. Let i = 284 + -275. What are the prime factors of p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251718 + -251725.50205. Let f = q - -7.5. Round f to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + (-27 - -65 - 39).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 17 + u**2 + 16 - 3*u - 31. Let b be t(-3). Calculate the highest common divisor of b and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*a = -385*a - 368 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2847c27 (base 13) in base 4?\nAnswer: 300222022332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(3*16\/12 - 11). Let i be a + -1 - (-4 + 16 - 10). Solve -5*y - 5 = n - i*y, 2*n = -5*y - 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1447 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 18*t**2 + 15*t - 29. Let u be c(-17). Suppose u*w - 435 = 295. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9*(-5)\/(-15))\/((-3)\/22) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1367181?\nAnswer: 3, 151909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 2, x: 2}. What is prob of sequence ia?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*n**3 + 65*d*n**2 - 2*d + 8 wrt n.\nAnswer: -3*d*n**2 + 130*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -8951352.\nAnswer: 1\/8951352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1973\/2 - 987. Do x and 1.19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 + 2 + 3*x**4 + 56*x**3 + 10*x + 4*x**2 + 10*x**2 - 7*x - 16*x**2 in the form w*x + c*x**2 + z*x**3 + a*x**4 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 3, -5, -16, -8, -2389 in increasing order.\nAnswer: -2389, -16, -8, -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61754742 divided by 2.\nAnswer: -30877371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.9944g in kilograms?\nAnswer: 0.2959944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdhi when four letters picked without replacement from ihjijdjnihjhjjihdjj?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmmmltttllmmt. What is prob of sequence lttt?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6300 and 2643.\nAnswer: 5550300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 731369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*p + 8, 0 = -p - 5*s - 4 - 3. Suppose u + 2*v + 7 = -v, p*u = 4*v + 18. Suppose u*m - 4*m + 10 = 0. Solve r - m*r - 8 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 14, q: 4}. Give prob of picking 4 z.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 146? (a) 0.03 (b) 2\/13 (c) 5 (d) -3\/4 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (480\/48)\/(5*6\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.2 + 4.8. Let u = -7 - g. Let q = 25.9948 + u. What is q rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/472 and -93\/309160.\nAnswer: 309160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 103099.2 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - (sqrt(350)*-1 + sqrt(14)))\/(sqrt(7) - -3*sqrt(7)*2) - (sqrt(8)*-6 - sqrt(18)\/(-3*sqrt(9))))*6.\nAnswer: 520*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by 308.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from xvxovxvovhevv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 5*q**3\/21 + 607*q**2\/14 + 242*q\/7 - 351. Let h(d) = 0. What is d?\nAnswer: -121, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 0.5, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9*k. Determine x(-6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 6*b**2 - b + 15. Let v be f(-5). Let w = -75 - v. Let r be (-108)\/20 + w + (-37)\/(-5). Let i(t) = -t**2 + 8*t - 7. Give i(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d321 (base 16) in base 6?\nAnswer: 1054121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*h - 10 + 228*h - 2 - 1 + 38.\nAnswer: 11*h + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -20, -0.5, 2\/3, -2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7 = f, 0 = -75*f + 79*f + 8. Which is the nearest to d? (a) 15 (b) -0.3 (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 269*h**2\/5 + 10487*h\/5 - 156\/5 = 0. What is h?\nAnswer: -39, 4\/269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:07 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7589582 to the nearest integer?\nAnswer: 2755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {i: 17, j: 2}.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 1143*q**7\/70 - q**5\/30 + 2465*q**3\/3 - 2*q**2 + 189*q. What is the first derivative of k(y) wrt y?\nAnswer: 13716*y**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6330 divided by -2?\nAnswer: 3165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 245?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3\/z*z**(-1\/10))\/(z**0*z*z**1\/z) assuming z is positive.\nAnswer: z**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 571 + -356. Suppose -209*p + d*p - 84126 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f - 12*f**4 + 11*f - 5*f - f - 2 to s + d*f**2 + r*f**3 + u*f**4 + y*f and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -22 and -260 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -18*h - 39. What is the remainder when 57 is divided by u(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4*l = 4, -l - 1 = -n - 0*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 112710*u*v - 3*v + 73379 wrt u.\nAnswer: 112710*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 767.30652 milliseconds to days.\nAnswer: 0.0000088808625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.38 - 0.78. Which is the biggest value? (a) -3\/2 (b) -2\/7 (c) 6\/7 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*k**3 + 3*k**3 + 3*k**2 - 761 + 56*k**4 - 52*k**4 - 54*k**4 wrt k?\nAnswer: -200*k**3 + 21*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 41.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from {z: 5, e: 1, a: 7, g: 1, r: 2}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**3*j**2 - 2086*i**3 - 372*i*j**2 + 29*i wrt j?\nAnswer: -6*i**3*j - 744*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/sqrt(7)*-5)\/sqrt(11) + -2*(sqrt(125)*-4)**2.\nAnswer: -4000 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/4 - 1902*w**2 - 4815855*w\/4 + 4831083\/2.\nAnswer: -3*(w - 2)*(w + 1269)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (60\/18)\/(2\/12). Suppose 0 = g + g + 4*b - 16, s = 2*g + 5*b. Let o(v) = v**3 - v**2 - v - 9. Calculate o(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 12*v**2. Let i be 54\/(-12)*(-3 + 1). Let k(h) = i + 9 - 18 - 6*h. What is f(k(q))?\nAnswer: 432*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -144 - -143.6. Let g = -9 + 24. Let v be 1*7\/((-35)\/g). What is the third biggest value in v, w, 4.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 142, -10, 963?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 5\/3*(-36)\/(-10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v + 4. Let x(i) = 24*i - 11. Let k(t) = -8*f(t) - 3*x(t). Let l be k(-10). Suppose j + 7 = 5*z + l, 4*j - 275 = -z. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 + m - 10. What is n(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1351 + 12970. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92*i*v**4 + 2*i*v - 4577*i + 37885*v**4 + 2987*v wrt v?\nAnswer: -1104*i*v**2 + 454620*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 7*n**2 - 3. Let z be f(-6). Let w = z + 111. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/3 (b) 3 (c) 615\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1339976 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 2\/6 - (-2)\/(-6). Suppose w = -12*c - 13 + 49. Suppose 0 = 3*t - 3, -z = -0*t - c*t - 7. Calculate the remainder when 39 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1989\/63 - 96\/168\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 6*d + 6*d - 6*d**2. Let p(v) = -3*v**2. Determine q(p(o)).\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-14 - -1 - 3) - -24\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -18. Calculate the greatest common factor of 27 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 4:14 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*y - 614 + 614.\nAnswer: -80*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/28 of a week?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(396)*1 + sqrt(396)) + 3)*1)**2 + -5)*-2.\nAnswer: -114056 - 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2 - 2084*i + 4176 = 0. Calculate i.\nAnswer: -1044, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 49*u - 268. Calculate v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 47608.51g?\nAnswer: 47608510000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 521443 - 4?\nAnswer: 521437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112111102211111 - 12?\nAnswer: -1112111102211200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l + 3. Determine h(-5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*l + 23 = 0, -3 = -3*b - 3*l + 6*l. Let q(x) = b + 0*x + x + 1. Let w(y) = 1 - 3 + 3. Give 2*q(g) - 11*w(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 1. Let h be x(-1). Let d be (-8)\/20 + 119\/35. Let o = 5 + -8. Sort d, h, o in ascending order.\nAnswer: o, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -5. Let w = o + 3.8. Let j = w - 0.3. What is the second biggest value in 1\/3, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 + 2*a - 3. What is b(3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 17.8?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 5*c - 5. Let n(w) = -4*w**2 - 16*w + 16. Let r(j) = -16*m(j) - 5*n(j). Let u(g) = 2*g + 2*g - 2*g. Calculate r(u(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -68. What is the highest common divisor of 40 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1274 - -59876\/47. What is the second biggest value in 0.1, 1\/18, o, 0?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 352 + 783 = -4*i, 2*i = -5*m + 5763. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4350 - -5321. Calculate the remainder when d is divided by 193.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 16 + 8. Solve -z - x = -1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11879 - 11952 - 8929 = -13*g. Calculate the greatest common factor of 195 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqzzqqq. Give prob of sequence qzq.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*w**2 + 63*w**2 - 2*w**2)*(3*w - w**2 - 3*w) to the form d*w + f + c*w**2 + h*w**3 + t*w**4 and give t.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + -4104002414?\nAnswer: -4104002342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 6. Suppose -6 = 3*b - 5*x, 4*b - q = -0*b - 5*x. Let z = -11 - -13. What is the remainder when b is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18327753, -36655513, -54983273, -73311033, -91638793, -109966553?\nAnswer: -128294313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81*n**3*o + 1066*n**3 + 3*n**2*o**2 - n wrt o.\nAnswer: 81*n**3 + 6*n**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4312 and 17798?\nAnswer: 3488408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 8*n - 6. Let c(t) = 6*t**2 - 41*t - 30. Let o(p) = 2*c(p) - 11*q(p). Calculate the remainder when (-39)\/(-4) - 1\/(-4) is divided by o(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 234*q**2 - 20*q + 2247. Calculate i(117).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2547 or -2491?\nAnswer: -2491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11730 - -11730. Which is the nearest to -1? (a) 0.4 (b) v (c) 385 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/1*15\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -9 - -7) + 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76032453 (base 8) in base 13?\nAnswer: 34a6c93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 23. Calculate the greatest common factor of r and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*d + 2. Let z(t) = t**3 - 8*t**2 + 3*t - 1. Does 17 divide z(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/9872 and -21\/39072142.\nAnswer: 312577136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86598 and 103122.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -40*w**3 - 7*w**2 - 57*w - 7. Let a(s) = 20*s**3 + 4*s**2 + 29*s + 4. Let x(c) = 7*a(c) + 4*h(c). What is the second derivative of x(k) wrt k?\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from kbcbb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 973.604367 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/16597 - 1460566\/248955. Let b = -335 - -315. What is the common denominator of o and b\/5 + (-595)\/(-63)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.1 - 19.33.\nAnswer: 8.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.07079 to zero dps.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/3, 18, 2, 444\/5, -4 in increasing order.\nAnswer: -4, -1\/2, 1\/3, 2, 18, 444\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 8*q**2 - 2*q + 7. Is m(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 263*o**6\/40 - 2*o**5\/15 - 10*o**3\/3 + 17*o**2 + 20. What is the third derivative of i(u) wrt u?\nAnswer: 4734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 10. Let f be u(-7). Solve -2*l = -4*b - f - 2, 0 = -b + 5*l + 21 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -11*v**2 + 100*v - 9 = 0.\nAnswer: 1\/11, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by (-774)\/(-4) - 30\/140*7?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {y: 1, w: 2, c: 1, d: 6}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/4 - 80\/(-64))\/(9\/4). Which is the second biggest value? (a) u (b) -3\/11 (c) -3\/7 (d) -3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -12*x**2. Let c(p) be the third derivative of p**4\/4 + p**2 + 36. Determine c(g(f)).\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9094734 divided by -3294.\nAnswer: -2761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 210 divided by -42\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 7 (b) -0.4 (c) 0.1 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 0.9. What is the nearest to -1 in -1\/4, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 39 = 3*d, -u - 4*u = 4*d - 52. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3 - -4) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13079\/92742 - (-4)\/(-13) - 3\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20117438 - -45?\nAnswer: 20117484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -397, -1695, -3867, -6913, -10833, -15627, -21295?\n\"Answer: -437*y**2 + 13*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1432*q + 161. Let g(w) = 2*w - 55. Calculate 3*g(h) + m(h).\nAnswer: -1426*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0876 - 126.9124. Which is the closest to -0.1? (a) -0.1 (b) 5 (c) n (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 69.471.\nAnswer: -6.9471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 72 + 652. Suppose -k = -4*h + 4*o, 2*o = -5*h - 0*h + 152. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**7\/m**1 assuming m is positive.\nAnswer: m**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22, -270, -1068, -2624, -5190, -9018?\n\"Answer: -42*n**3 - n**2 + 5*n + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 14*f**6\/15 + 29*f**5\/30 - f**2 + 16. What is the third derivative of n(i) wrt i?\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 29*w**2 - 42*w - 377. Give v(-28).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 27 = -8*t. Let d = t - 4. Is d greater than or equal to -18\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 1:47 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 - 0.22. Sort -10, -3\/8, f in decreasing order.\nAnswer: f, -3\/8, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26365?\nAnswer: 5, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 0 - 9\/10*x**3 + 1\/2*x**4 + 7\/10*x**2 - 1\/10*x**5 - 1\/5*x = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 392*y**2 + 70*y - 70. Let i(r) = 17*r**2 + 3*r - 3. Give -70*i(k) + 3*l(k).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 89. Suppose -2*r + f*r = 522000. Let s be 1 + r - (-23 - -24). What is s rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000400157937 rounded to 5 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30043, 59908, 89777, 119650, 149527, 179408, 209293?\nAnswer: 239182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 7:28 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(128)*-1)**2 + 1 + -4) + -3.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -19*k - 51. Let j be f(4). Let q = j + 184. What is the greatest common divisor of 38 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*y - y - 20, -y + 2 = 3*l. Which is the second smallest value? (a) l (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2\/3 + 292190*r\/3 - 66859069\/3 = 0.\nAnswer: 229, 291961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 74 and 0.04.\nAnswer: 2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 2*n**2 + 2*n - 1. Let u be a(-3). Suppose -u*g - 12 = -6*g. What is the first derivative of 2 - g - l**4 - l**4 wrt l?\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12176436 divided by 6.\nAnswer: -2029406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**4\/6 - 7*q. Determine i so that n(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 5*u + 6. Let j be c(4). Let o be -1*j - 0 - 1. Is 14 a factor of (4 + o)*(40 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7268, 7304, 7340, 7376?\n\"Answer: 36*k + 7232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*q = -12, -4*i - 5*q + 4*q = -28. Suppose -i = -5*f + 12. Let -8\/3*a**3 - 4*a**2 - 2\/3 - 2\/3*a**f - 8\/3*a = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 + 3*u**2 - 7*u - 3. Let d(k) = -4*k**3 + 5*k**2 - 14*k - 5. Give -5*a(r) + 3*d(r).\nAnswer: -2*r**3 - 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2202*l*y**3 - 2*l*y**2 - 2*l*y - 75*l + 2*y**3 + 5*y**2 + 7*y - 3 wrt y?\nAnswer: -13212*l*y - 4*l + 12*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 13*j - 13*j - j**2 + 22*j)*((-5*j + 0*j + 3*j)*(-3*j + 7*j + 3*j) + (3*j - 3*j - j)*(3*j + 0 + 0) - 1 + 1 + j**2).\nAnswer: 16*j**4 + 64*j**3 + 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5337592 and 208.\nAnswer: 10675184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 378? (a) 0.1 (b) -53 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2. Let m be i(-1). Suppose -4*a + m = 6. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from {b: 7, u: 1, h: 3, m: 1, w: 2, c: 3}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13b427e + -1?\nAnswer: -13b4280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, and 1 h when three letters picked without replacement from {e: 3, l: 3, x: 2, h: 1, s: 3, f: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -265 - -88. Which is the smallest value? (a) 2\/11 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*t = 2*t + 19, -4*i + 2*t = -18. Let y be i - (1 - (-6)\/5). Let s = 48 - 48.5. Which is the smallest value? (a) s (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 670576232*p**4 + 33*p**2 + 263226*p + 1 wrt p?\nAnswer: 16093829568*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -743 - 69?\nAnswer: -7ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, -0.3, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10349 + -507085\/49. Which is greater: l or -1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**4\/12 + y**3\/2 + 2*y. Let f be q(-3). What is the remainder when 41*(f + 1 + 0) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 16*u = -35. Suppose 0 = -3*k + 2*s + s + 108, 3*s = -u*k + 188. Let d = 19 + 0. Calculate the remainder when k is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + (sqrt(1872) + sqrt(1872) + -1 - sqrt(1872)) + -2 + 3 + sqrt(1872)*1 + sqrt(1872) + 5*-6*(-1 + sqrt(1872)))**2.\nAnswer: -16200*sqrt(13) + 1365313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let z be -2 - -1 - (2 + 0). Suppose -105*n + 103 + 131 = -81. Sort q, -4, z, n in increasing order.\nAnswer: -4, z, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -115*k + 2*k + 2*k + 5*k**2 - 3*k**2 - 210 - 5*k**2 = 0.\nAnswer: -35, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 + -331.9335\nAnswer: -251.9335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-2)\/138)\/((-3)\/(72\/(-8))).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -70 in -0.07, 0, 2\/17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.74 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 19. Put 1, -5, b, 3 in descending order.\nAnswer: b, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209 and 7337.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*r - 43 - 53. Differentiate -27*z**3 + 8 + 29*z**r + 81*z**3 + 164*z**3 with respect to z.\nAnswer: 741*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 3)*(-3 - -2). Suppose 7 = 4*y - 5. Suppose l - y*l = -6. Solve -k = n + l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + 0*b - 2*b)*(2 + 0 + 2)*(-1 + 15*b + 1)*(-12 + 75 - 23) to s + g*b + k*b**2 and give k.\nAnswer: -4800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 6:14 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.9 and 20745.670538.\nAnswer: 20741.770538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 93*y**2. Let s(b) = b**2 - 3*b - 5. Let u be s(4). Let a(i) = i - 1. Let p(h) = -4*h + 5. Let c(x) = u*p(x) - 5*a(x). What is c(v(g))?\nAnswer: -93*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 17 - 22 = 0. Is 2 a factor of (r\/(-2) + 1 + 8)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**4\/24 - p**3\/3 - 3*p**2. Let y be m(5). Let k(d) = d + 2*d**2 - d**2 + 4*d**3 - 1 - 3*d**y. Determine k(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3 - 837249*k**2 + 58405023648*k + 1460648918700 = 0 for k.\nAnswer: -25, 139554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 246.6 + -10.6. Let y = -236.00000099 + b. Round y to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 77, 183, 367, 653?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*p + 34*p + 31*p)*(4 - 4 - 2*p).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1103, 5161, 12011, 21653?\n\"Answer: 1396*i**2 - 130*i - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -471*h**2*x**2 + 10*h**2*x - 469*h*x - 145022122*x**2 wrt h.\nAnswer: -942*h*x**2 + 20*h*x - 469*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.5 + 5.3. Let o be (-19)\/2 - 1\/(-2). Let l be (-2)\/8*o\/(-6). What is the closest to r in -1, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 57398.56 centimeters?\nAnswer: 0.5739856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= 2\/3015483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 852939.3 micrometers?\nAnswer: 85.29393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 1704.58.\nAnswer: 511.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 87) + 119 - 117?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.085 rounded to one decimal place?\nAnswer: -23.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k - 380*k**4 + 0*k + 403*k**4 wrt k.\nAnswer: 276*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/1507 - -2330\/1507. Calculate the common denominator of k and 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25359 and 5135.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 - 18\/(-35). Put 3, -2, s in increasing order.\nAnswer: -2, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 746, 5475, 18124, 42653, 83022?\nAnswer: 143191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -26 (b) -0.05 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 53?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 6) to base 9\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -313, -444, -559, -652, -717, -748, -739?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/2)\/((-13332)\/(-44440))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 130, 143, 168, 211, 278, 375, 508, 683?\n\"Answer: g**3 + 6*g + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + h**2 - 8*h. List the prime factors of z(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1204844*h - 88*h**4 + 1204844*h + 2*h**4 + 0 + 0 - h**4 + h - h + (-4*h**3 + 2*h**3 + 0*h**3)*(0*h - 4*h + 2*h) + h**4 + 0*h**4 + h**4.\nAnswer: -81*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 = -5*p. Suppose -5*o + p*o = -57. Calculate the remainder when 55 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -17543*z**2. Let l(i) = -26*i**2 - 2*i. What is l(t(w))?\nAnswer: -8001678074*w**4 + 35086*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c + 448 = 6*c. Let q = -31 - c. Suppose 5*o - 3*u - 30 = -0*o, -3*u = 15. What is the smallest common multiple of o and q?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10 and 1756720783.\nAnswer: 1756720793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13787 + -5286. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.74 - 13. Let u = -0.436 - g. Let n = u - -0.037. Round n to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/3 and -76\/3758151.\nAnswer: 3758151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1544\/7 - 221. Let h = -1.34483 - -17.34483. Which is the third biggest value? (a) h (b) w (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**4\/7 - 4*q**3\/7 + 4*q**2\/7 + 1564. What is w in s(w) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1995488 = -p - 1232469. Let c = p + 577111. Let l = -1200846 - c. What is l rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*p = -561 - 80, 0 = -3*p + 18. Calculate the highest common divisor of 665 and y.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, 7, 141, 421, 895, 1611, 2617?\nAnswer: 3961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 33. Let y be 1\/(1\/1*d\/21). Calculate the remainder when 25 is divided by 195\/y + 8\/(-28).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-3 - -1) - (-4 - (48 + -44)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(-7)\/(7\/15). Let f = y + 71. What is the units digit of (-3)\/(-4) + 2 + (-141)\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 693675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 5*q + 2. Let u be v(-5). What is the units digit of u + -2 + (23 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -17 - (-3 - (5 + -4))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 749 (b) 4 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -66 * -5\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(3 - 28\/12). Suppose -4*n = -4, -5*n = -4*g + 3*g - 3. Find the second derivative of a - x*a + a + g*a - a**4 wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s. Let p(v) = 1419395 + 764*v + 6*v**2 - 1419395. What is h(p(c))?\nAnswer: -24*c**2 - 3056*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = f + 4*g - 1, f = -g + 10. What is the greatest common factor of f and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-11)*g**(2\/9) assuming g is positive.\nAnswer: g**(-97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 11) to base 3.\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w + 12*w + 106*w**2 + 0*w - 2*w - 5*w as t*w + x + s*w**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 x when three letters picked without replacement from {a: 6, c: 1, x: 8}?\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -15. Let v be (6\/(-16))\/(c\/4). Suppose 0 = w + 5*a + 19, 2 = -3*w + w - a. Are v and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 14*j = -16*j + 88, -4*b + 2*j + 108 = 0. What is the greatest common divisor of 252 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 + 0.26. Sort -4, b, 1.\nAnswer: -4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 4.76.\nAnswer: 1.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51566 (base 8) to base 5.\nAnswer: -1140431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5019 - 100451\/20. Calculate the common denominator of j and 61\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 28 = -4*l, -2*c = -c + 5*l - 23 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121322, 121352, 121402, 121478, 121586, 121732?\nAnswer: 121922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-28))\/(2\/8*2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = -20. Let p = -20 - -20.3. What is the biggest value in b, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 12 + 2 - 1 - 3 + 2 + (3 - 2 - 3)*(-2 + 5 - 1) + 2 - 3 - 1)*(2*g**3 - 30 - 687*g + 29 + 173*g) as c*g**2 + f*g + p + w*g**3 and give w.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 19. Let h be a(19). Suppose 5*c - 91 - 169 = h. Calculate the remainder when c is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313 + -444032200?\nAnswer: -444033013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136767 divided by -447.\nAnswer: 45589\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 864 - 810. Suppose -i + r + 142 = 0. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/7 + 4701*k**2\/7 + 18768*k\/7 + 18756\/7.\nAnswer: 3*(k + 2)**2*(k + 1563)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 30. Let m be c(16). Let k = -9 - -14. Suppose -m - 469 = -k*t. Calculate the remainder when t is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 664 = 5*u - 634 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5.3. Let m = -0.5 - r. Let s = m - -0.80056. Round s to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120016 is divided by 60000.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164 and 108?\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 1 + 13 = 0. Suppose -3*p - y*j + 2618 = 0, -2*p + 3*j = p - 2628. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1287238880 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49348823*h - 49348923*h - 3600 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from alalaa?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9464.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6259895 is divided by 974?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88014 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/25 - 32*o**2\/25 - 238*o\/25 + 588\/25.\nAnswer: 2*(o - 21)*(o - 2)*(o + 7)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/4)\/(o\/o**(-3)))**(23\/5) assuming o is positive.\nAnswer: o**(-299\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 61 (c) -0.031 (d) -12\/317\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 7225331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13074560014 - 3.7.\nAnswer: -3.56925439986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cohhkkhcknhhhhhhhah. What is prob of picking 1 c and 3 h?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**4 - 3238*n**3 - 809184*n**2 - 49967658*n - 142707825 = 0.\nAnswer: -117, -3, 3475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1.8. Let i(z) = -2*z - 25. Let k be i(-12). Which is the nearest to 0.1? (a) t (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4409.7l in millilitres?\nAnswer: 4409700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1 + (2 - 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - (2 - 4)) - (482 + -475)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 504623343.459999997 + -504623343. Let b = 0.46 - g. What is b rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18226098797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7427476 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 1\/8 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43034035 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*k*s**3*u**3 - 9*k*s*u + 10*k - 1521*s**3*u**3 - 2*s*u**3 with respect to k.\nAnswer: -15*s**3*u**3 - 9*s*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110010110111 - -1?\nAnswer: 11110010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -491 - r**3 + 492 + 0*r**2 - 6*r**2 - 3*r in the form n*r**3 + x + v*r + h*r**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/6)\/((-3)\/(-15)). Which is the third smallest value? (a) -2 (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 12*d - 40. Give v(-19).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b. Let f(l) be the second derivative of 7*l**3\/6 - 7*l. Give t(f(o)).\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 21.5. Which is the second biggest value? (a) -5 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - ((sqrt(180) - (sqrt(180)*-1 + sqrt(180))) + sqrt(180)))**2*-4.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -11 - 9594\/(-1950)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*k**3 + 196*k**3 - 265*k**3.\nAnswer: -226*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.133 - 1.163. Let o = -17.291 - f. Let m = o + 13. Round m to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 50*x**2 + 221*x - 232. Give v(54).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-27\/4)*(((x**(2\/49)\/x)\/x)\/x)\/x)\/(x**(-2\/55))**(-4\/19))**5 assuming x is positive.\nAnswer: x**(774867\/40964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3694 + -3696. What is the closest to -0.27 in -0.1, s, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, g: 3}. Give prob of sequence cgcc.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 6. Suppose -n*d + 24 = 5*l, -2*l - 2 - 7 = -5*d. Suppose t = -d*t. Solve t*b - 4 = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -542?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 11*q. Let b(n) = n - 1. Let c(l) = -l**2 + 5*l - 5. Let i(p) = -5*b(p) + c(p). Determine i(z(g)).\nAnswer: -121*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -92*b - 1. Let x(k) = 554*k**2. What is x(c(v))?\nAnswer: 4689056*v**2 + 101936*v + 554","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122.5 - 198. Let s = 443.1 + v. Round s to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3039 - -2.5039. What is the nearest to 4 in 1\/3, -12, 0, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -8f1453?\nAnswer: -8f1454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415638 is divided by 792?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4300, 8519, 12652, 16693, 20636, 24475?\n\"Answer: -z**3 - 37*z**2 + 4337*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-20) - (-16)\/(-10). Let x be (-924)\/(-78) + p\/(-13). Suppose -x = -c + 26. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2366, 9593, 21634, 38489, 60158?\nAnswer: 86641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 503.618 to 1 dp.\nAnswer: 503.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1*3\/(18\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1082*f - 79756 - 28430 = -1765*f for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100122 + 221002121020?\nAnswer: 221002221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+30565799.073234\nAnswer: 30565799.173234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*n - 30*n + 38*n - 28*n.\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -37*z**2 - 176*z - 177. Let j(v) = 11*v**2 + 58*v + 58. Let k(h) = 7*j(h) + 2*l(h). Calculate k(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 + -341 + 10 + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + p - 1 + 1)*((4 - 3 + 1)*(-34 - 8 - 3) + 6 - 2 - 3).\nAnswer: -89*p + 178","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 310 + -207. Let j = t - 53. What is the highest common divisor of j and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -0.106954?\nAnswer: -0.00427816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*a + 9, x - 2*x - 5*a + 24 = 0. Sort 2, 5, x in descending order.\nAnswer: 5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 11*v - 11. Let z be p(-7). Let b = z - 20. Put -1, 3, b in ascending order.\nAnswer: b, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 81898*r + 33. Let x be i(9). Let w be (x + 29)\/((-4)\/(-14)). Suppose 4*o + 10319996 = -f, -2*o - f = -3*o - w. Round o to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4602 - -4902. Solve 335 - g = 7*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92098307?\nAnswer: 7, 13156901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**4\/12 + m**3 - 7*m**2\/2 - m + 49. Let r = 9 + -4. Let p be t(r). Which is the biggest value? (a) -0.1 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*s - 14*s - 3*s**2 - 2*s**2 to the form o + x*s**2 + b*s and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3) - (-4)\/6. Solve -5*s + 5 - 30 = l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 2*x - 4. Suppose 17 = 4*p + 41. Let m(v) = 2*v**2 + 4*v - 7. Give p*m(k) + 11*c(k).\nAnswer: -k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261539?\nAnswer: 41, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 0*i**5 + 2*i**2 + 0*i**3 - 1\/336*i**8 + 1\/60*i**6 - 1\/210*i**7 + 0*i + 0*i**4 + 0. Factor h(u).\nAnswer: -u**3*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/56 (b) -3 (c) -0.059 (d) -8 (e) -14 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*t + 5*j, -4*j = -t - 0*j - 6. Solve -2 = 4*x - 3*p, -2*x - 2*p + p = t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/((-1)\/6). Solve -2*w + 3*w - 16 = -4*g, w + l = g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 5*p + 10, -5*p - 9 = -s - 7*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + 43*p**4 - 50*p**4 + 3 - 3*p**3 - p to h*p**4 + q + w*p**3 + a*p**2 + s*p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -118803*r**3 - 786249*r**2 + 313272*r - 30324 = 0.\nAnswer: -7, 38\/199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 1729, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/((-21)\/6 + 2). Let m be -4 + (-8)\/(-1) + -4. Suppose m = -25*r + 22*r - 15. Put a, 1, r in decreasing order.\nAnswer: 1, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*s + 3605 = 2*q, -2164 = -3*q + 2*s. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 13. Suppose 27 = 5*n - z. Solve 0 = 3*g + 2*g - n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 4*r**2 - 7*r + 1. Let u be g(-6). Suppose -5*d + u = 20. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253359463?\nAnswer: 7, 3163, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -48. What is the highest common factor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkktkkkktkkkkkkkkk?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -19.1. Let l = -2 - k. Let g(v) = v**2 - 12*v + 6. Let m be g(11). What is the closest to l in m, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*u + 13 + 2, 2*n = -3*u + 25. Let k be -3 + 4 - (-1*9)\/3. Solve -k = -u*q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z = -50. Let q = 116 - z. Suppose -c - 4*f - 10 = 0, 6*f = c + f - 26. Calculate the highest common factor of q and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 130 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4342303 (base 5) to base 3\nAnswer: -10210110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 18*y**3 - 2*y**2 + 3*y - 1. Calculate the remainder when 64 is divided by v(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8714\/10 - (-6)\/10. Is 873 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 439 and 399.\nAnswer: 175161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -13*r**3 - 41*r**2 + 41*r + 43. Let s(j) = -3*j**3 - 10*j**2 + 10*j + 11. Let c(w) = 9*s(w) - 2*t(w). Suppose -3*z - 21 - 6 = 0. Does 15 divide c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -22.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(-54) + 3636306\/243?\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/10 - 4 - (-5)\/25. Which is the third smallest value? (a) 0.34 (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*d - 2*l, -5*l + 3*l + 10 = -2*d. Let z be 10\/d*(-54)\/(-24). Which is greater: -7 or z?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21766 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -12) + (-2 - -5) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 12 - 460. Let s be 18\/(-21) - 160\/f. Solve -s*u + 0*u = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*o + 6 + 3, 6 = 2*d - 4*o. Suppose -4*l = d*n + 2*n - 8, 3*n = -l - 5. Calculate the smallest common multiple of l and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14253166 equal to -14253159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b**2 - b)*(b**2 - 40*b - 1 + 16*b - 2*b**2).\nAnswer: 2*b**4 + 48*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-519*n - 525*n + 1041*n - 68*n**4)*(2 + 3 - 1)*(3 + 2 - 4).\nAnswer: -272*n**4 - 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -10. Let k be -1 + 14*x\/4. Let i(p) = 7*p**2 + 3*p - 2. Let r be i(-2). Calculate the greatest common divisor of k and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6. Let s = 13943\/115 - 1542\/23. Let c = s + -54. What is the closest to g in 5, c, -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -91, -202, -357, -556?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 5) to base 10\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 18*z + 9. Let a(u) = -u + 1. Let s(f) = 5*a(f) + m(f). Let r be s(-1). Which is smaller: -3\/154 or r?\nAnswer: -3\/154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -832 + 912. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 2 + 2)\/1. Let w = j + -2. Let t(q) = -4*q**2 + 1 - 3 + 5*q**2. Determine t(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1469, -2938, -4409, -5882, -7357, -8834?\n\"Answer: -d**2 - 1466*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 1 - 29 = 0. Let p(z) = -2*z**2 - 5*z + 1. Let l be p(m). Solve 0 = 2*n, l*y + 2 = 5*y - 3*n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 52?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 297 or -720237?\nAnswer: 297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 3*n**2 - 52*n\/3.\nAnswer: n*(n - 13)*(n + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 41.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -5, 464, 1\/4, 2\/13 in increasing order.\nAnswer: -5, 2\/13, 1\/4, 21, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -2\/565, 3, 0.1?\nAnswer: -2\/565","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254596, -509140, -763682, -1018222, -1272760, -1527296?\nAnswer: -1781830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110 and -1.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**3 - 254*m**2 - 662*m + 210. Give b(-48).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1670572875?\nAnswer: 3, 5, 4454861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 9 = -3*n. Suppose -5*s + 2*v + 14 = 0, -5*s - v = -4*v - 16. Suppose n*h - 9 = s*h. What is the remainder when 33 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**2 + 30*r + 152 = 0.\nAnswer: -4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 17156*t + 42. Determine v(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*p - 8, 6*p = v + p + 1. Suppose 5*u = 2*s, 2*u + u + 28 = v*s. Suppose s = 3*g - 47. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 q, and 1 d when four letters picked without replacement from {x: 2, k: 1, q: 1, g: 8, e: 2, d: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100000110 + 100?\nAnswer: 100100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 3 + 5 - 0\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -770737, -1541465, -2312177, -3082873, -3853553, -4624217?\nAnswer: -5394865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 28*v**2 + 66*v - 1476. Calculate the lowest common multiple of 744 and i(28).\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113 + -113. Suppose j = 12*w - 9*w - 30. Let p(u) = -u**3 + 9*u**2 + 12*u - 17. Let r be p(w). What is the highest common divisor of r and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 8:47 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.43 + -0.5. Let g = -1982 - -1981.73. Let c = d - g. Sort c, -2\/11, -5\/3, -6 in descending order.\nAnswer: c, -2\/11, -5\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2996 + -2957. What is the remainder when 56 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 587 = -3*q, 160*c - 161*c + 127 = -q. Which is greater: 1096\/9 or c?\nAnswer: 1096\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1187388*m**3 + 5*m - 132335.\nAnswer: 7124328*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) -208 (c) 0 (d) 0.5 (e) 1\/3 (f) -1063 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131.4 - 110. Round g to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-47)\/(4606\/70).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321, -2572, -8677, -20562, -40153, -69376?\nAnswer: -110157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-9)\/((3024\/(-153))\/(-16))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 - 297*a**4 - 34*a + 299*a**4 + 7*a**3 to the form v*a + h*a**3 + c*a**2 + g + k*a**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/108*-51 + 2\/(-8). Let k(x) = -x**3 + 6*x**2 - 2*x + 3. Let m be k(4). Let y = -19 + m. Solve 4 = h*i - y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5354 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlwbulaluwl. Give prob of sequence ab.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/(1232\/66))\/(2 - 3\/(-21)). What is the closest to 1 in -0.5, 5\/7, m?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*j + 15, 3*v - 2*j = -4 + 11. Suppose 2*h - 4*a = -10, 3*h = -4*a + v - 8. Let m(q) = q**3 + 2*q**2 - 3*q + 4. Is m(h) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.33 - 0.83. Which is the smallest value? (a) -3\/8 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -8 - ((-4 - (2 - 8)) + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186590825*j - 28 + 28 + 186590838*j.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -12. Let d = -55.7 - -0.7. Let z = d + 55.4. Which is the nearest to -1? (a) -3 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 271538*g**6 + 57*g**2 - 2*g + 397?\nAnswer: 32584560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + (-6 - -12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2 = -8*w, -52*j + 3 = -53*j + w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - 3*q. Let t(h) = -h**2 - h. Let w(k) = -o(k) + 3*t(k). Let a(f) be the first derivative of 4*f**2 - 4. Calculate w(a(x)).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 - -2. Let m be ((-173)\/12)\/(2\/(-4)). Let t = 29 - m. What is the second smallest value in 0.3, u, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 43. Let i = 3 + x. Calculate the lowest common multiple of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 16*k = k + 91, -639*a - 7 = -636*a - k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2624 = -866*i + 930*i for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9915828634007 - 9915828634007 - 3*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/2 + 29*q**3 + 449*q**2\/2 + 196*q.\nAnswer: q*(q + 1)*(q + 8)*(q + 49)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2010.103 millilitres?\nAnswer: 2.010103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36393, 72719, 108871, 144765, 180317, 215443, 250059?\nAnswer: 284081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 - 217*v + 34497. Determine k(77).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/115 + 188\/46)\/(-1). What is the closest to -2\/9 in i, 2\/5, 0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 105233.\nAnswer: 420932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3689743, 3689744, 3689745, 3689746, 3689747?\n\"Answer: t + 3689742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -591484?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*f = 0, -3*n - f - 8 = n. Let b be (n\/4)\/((-204)\/96). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 998, 1013, 1028, 1043, 1058, 1073?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (70\/(-105))\/(2\/(-27)). Solve q = -2*h + 2*l - 1, 0 = 5*h + 4*l + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49.99 + 50. Round c to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5 - 20934*r**4 - 40537260*r**3 - 30909199050*r**2 - 8274724178625*r = 0. Calculate r.\nAnswer: -4413, -855, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40123201 (base 6) to base 12.\nAnswer: 466501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 416809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 789 times 0.86?\nAnswer: 678.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -d - 3*d. Let l be d\/6*2\/10. Let x = 47 + -46. Which is the third smallest value? (a) 2 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 5*n - 192347 = -192396, 132 = 5*f + 22*n for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -283.1499 * -3\nAnswer: 849.4497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3105 - -3162. What is the remainder when 257 is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((1 - -9) + (36 - 36))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 5) + 5 + 0 + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (26 + (35 - 46) + 22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(2\/75))**(6\/19)\/(m**0*m*m\/(m\/(m*m\/m**(-1)*m))*(m\/m**2)**(-38)) assuming m is positive.\nAnswer: m**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 177*t**5\/5 - 2*t**3\/3 + 116*t**2 - 196. Find the second derivative of j(n) wrt n.\nAnswer: 2124*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 10*y - 5 + 15 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -921.198 rounded to the nearest integer?\nAnswer: -921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 323841 divided by -30?\nAnswer: -107947\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/30 + l**4\/12 + 7*l**2. Calculate the common denominator of (1\/(-4))\/((-2)\/(-5)) and n(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**7\/2520 - y**4\/24 + y**2. Let g(x) be the second derivative of j(x). Let u(b) = -2 - 16*b + 2 + 10*b + 9*b. Give u(g(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 2*l + 5 - l + (1 - 1 - 3)*(305 - 37*l - 305) - 3*l - 2*l + 6*l as w*l + o and give w.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -8.8. Let c = -3.4773 + 10.4773. What is the second biggest value in x, -2\/9, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11592, 23139, 34644, 46113, 57552, 68967, 80364?\nAnswer: 91749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*x + 123205*x**2 + 54*x + 0*x.\nAnswer: 123205*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/4 + 2*o**3 + 5*o**2\/2 - 2*o - 9\/4.\nAnswer: -(o - 9)*(o - 1)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*u + 141, 5*b = -u + 6*u + 145. Suppose 5*j + p + 3*p = b, -2*j = 2*p - 10. Suppose 2*n - 4 = n. Sort 1, j, -1, n in decreasing order.\nAnswer: j, n, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1073578?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4716*v - 764. Let q(s) = -134*s. Let u(m) = o(m) - 4*q(m). Differentiate u(k) wrt k.\nAnswer: 5252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29943406.\nAnswer: 2, 14971703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8031229457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**5\/3 - 137*l**4\/3 + 1046*l**3\/3 + 2195*l**2\/3 + 228*l - 108 = 0. Calculate l.\nAnswer: -1, 1\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50497620659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99261, -101093, -104147, -108423, -113921, -120641?\nAnswer: -128583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 259.4801448 rounded to zero dps?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5150, -6801, -8428, -10019, -11562, -13045?\n\"Answer: 2*o**3 - 1665*o - 3487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 126000*w + 6. Let x(v) = -12474000*v - 595. Let f(a) = 595*o(a) + 6*x(a). Let j be f(-5). Round j to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**4\/12 - j**3 - 1026*j. Calculate n(-11).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*(sqrt(612) + 0) + -2)**2.\nAnswer: -240*sqrt(17) + 12260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131051275?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 44 = 20. Solve q*g + 8 = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 302*t**2 + 48*t - 49. Determine v(1).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 33. Let w = 42 - f. Calculate the remainder when 11 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 6:25 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2*c**2 + c**2)*(3 - 4 + 3).\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(4\/(-2))\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -6) + (9 - 5) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f**2 - 5*f - 3. Let l(p) = 11*p**2 + 6*p + 4. Calculate 5*l(a) + 6*o(a).\nAnswer: a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3501 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/30 and 47\/102822.\nAnswer: 514110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l - 24. Let i be (2\/l)\/((-4)\/(-12)). Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5589989.775516 + 0.09.\nAnswer: 5589989.865516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*f = 4*m + 77*f, 11 = -3*m - 4*f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2 + 5, 2*n = -w + 15. Suppose 0 = -2*f - 0*f + 2*p - 14, -n = -f - 2*p. What is the second smallest value in 2, 3\/8, f?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39326*j**2 + 157*j + 68?\nAnswer: 78652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19605 divided by -6535.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.6, 122, 40.5?\nAnswer: 40.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -30 + 6 + -34 + -16 + (-2 - 0).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2289456714 to the nearest integer?\nAnswer: 47848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 12:49 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*h**4 - 808*h**3 - 5*h**2 - 8276?\nAnswer: 1248*h - 4848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-196)\/(-6) + (-6)\/9. Suppose 7*s - a = 3*s. Calculate the smallest common multiple of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -23495 and -23494 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3756 * -0.075.\nAnswer: -281.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 723 - 713. Solve 3*k = -u + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**5\/20 + q**4\/6 - q**3\/6 + 13*q**2\/2 - 3582*q. Determine z(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5568, 10768, 15966, 21162?\nAnswer: 26356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30888930 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -930087974.465 and -0.2?\nAnswer: 930087974.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*w = -1496, -7*w + 313 = b - 2*w. What are the prime factors of b?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**24\/k*k*k))\/k**(1\/2))\/(k*k\/k**(-2\/49)*k*k**(3\/7)) assuming k is positive.\nAnswer: k**(-2741\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 371*m - 369*m - 12 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**16\/w**(-14)*w**(1\/22)*w**(-1\/36) assuming w is positive.\nAnswer: w**(11887\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 2:34 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 2*o + 24 + 44.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(39\/5))\/l**(1\/18) assuming l is positive.\nAnswer: l**(-617\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-12) + (-9)\/(144\/(-2020)). Let q = 127 - l. Put 4, 29, q in decreasing order.\nAnswer: 29, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1044.1 * 0.055.\nAnswer: -57.4255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0*x - x)*(-9123 + 14830 - 7701).\nAnswer: -1994*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - sqrt(539)*3) + sqrt(539) + 3 + (sqrt(539) + 1*sqrt(539))*3 - (-5 + -1*sqrt(539) + 3 + -2)**2.\nAnswer: -552 - 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5527024*w**3 - 6855466*w wrt w?\nAnswer: -33162144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1 - 78\/(-26). Solve s*p = -14 + 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 100*z**2 + 40*z + 20. Let s(t) = -2*t - 1. Determine 5*i(k) + 100*s(k).\nAnswer: 500*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 - 88. Let h(f) = -4*f**2 + 1 - 3*f**2 + f**3 + 4*f**2 - 4*f. List the prime factors of h(z).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 57*a + 51*a - 110*a - 2 = 0, -4*s + 16 = -4*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 20*c**2 - 18*c + 23. Give m(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100761247.\nAnswer: 193, 522079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -1\/20*k**5 + 0*k**3 + 1\/126*k**7 + 0*k**2 + 19*k + 0 + 1\/18*k**4 + 0*k**6. Factor b(l).\nAnswer: l**2*(l - 1)**2*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -j + 22. Let k(a) = -a**3 + 18*a**2 - a + 20. Let l be k(j). Suppose -l*y = -29 - 733. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -214*l**2 + 105*l**2 + 17 + 116*l**2 + (2 + 3 - 3)*(-2*l**2 - l**2 + 6*l**2).\nAnswer: 13*l**2 + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137773, -275549, -413327, -551107, -688889, -826673, -964459?\nAnswer: -1102247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 239841.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 14. Let a be (9\/(-2))\/3 - 234\/v. Suppose -a*u = -13*u - 20. Solve -2*m = -3*m + u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 29*l**2 - 59*l - 8. What is the remainder when u(-18) is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39313 - -39306.9051. Let n = -6.1 - q. What is n rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45781504 is divided by 3891?\nAnswer: 3889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 197*a**3*w**6 - a**3*w**3 + 22*a**3*w**2 - 16*a**2*w**2 wrt w?\nAnswer: 23640*a**3*w**3 - 6*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 16*m**2 - m + 10. Let z be f(16). Which is the biggest value? (a) 5 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 471547*a*u + 64798*a wrt u?\nAnswer: 471547*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -1\/112, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101100110111100011 - 1000?\nAnswer: 10101100110111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 16307.\nAnswer: 3\/16307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(225) - (-2*sqrt(225) - sqrt(225)) - sqrt(225))\/sqrt(5))\/(sqrt(9) + sqrt(72)\/sqrt(72)))**2.\nAnswer: 405\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 174905.64 seconds?\nAnswer: 48.5849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**5 - 856*y**4 + 11*y + 48?\nAnswer: -60*y**3 - 10272*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6753293561.\nAnswer: 7, 964756223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 682 and 22066.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3518, 3718, 3912, 4100?\nAnswer: 4282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 46023291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a - 1. Let m(b) = 2*b. Suppose 6*x = 8 + 4. Let z(f) = -f**2 + 0*f**2 - f + 3 - x. Determine a*m(h) + 2*z(h).\nAnswer: -2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 2325248\nAnswer: 9300992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*2)**2 - sqrt(567) - sqrt(7) - (4 + sqrt(63)).\nAnswer: -13*sqrt(7) + 2264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/45 + 13*g**4\/72 + 5*g**3\/9 + 29*g**2 + 2. Find q, given that y(q) = 0.\nAnswer: -2, -5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -151.8 in -0.4, 0.4, 3, 0.5, 0.43?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 - p**4 - 1141 - 24*p - 1156 + 3444 - 1145 to j*p + k*p**3 + y*p**4 + x*p**2 + b and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uupx when four letters picked without replacement from {x: 4, p: 2, u: 3}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 441 and 222453?\nAnswer: 1557171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {f: 2, c: 1, t: 8, s: 1, k: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {f: 2, a: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126499 - -183499. Round p to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1119, -1460, -2029, -2826, -3851, -5104, -6585?\n\"Answer: -114*p**2 + p - 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(2420) + sqrt(2420) - sqrt(2420)))\/(sqrt(36)\/sqrt(81) - sqrt(4) - (sqrt(144) - sqrt(36))) + 4.\nAnswer: -6*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: 64389 (base 10) to base 3\nAnswer: 10021022210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002100 + -1000200110?\nAnswer: -222121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3114035870?\nAnswer: 2, 5, 11, 31, 929, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 6*m**2 - 3*m + 11. Let a be p(-6). Let n be 2 + 0 + 2 + -4. Suppose n*u + u - a = 0. What is the remainder when u is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133 - 111. Solve 4*l + 5*j - r = 3*j, 18 = 4*l - 2*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 5)*(-6)\/(-9). Suppose 2*x - w*x + 2*c = -6, -2*x + c + 6 = 0. Suppose 0 = 5*l - x*l - 658. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, p: 10}. What is prob of sequence gpp?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -14*p. Suppose -2*r - 114 = -5*c, -3*r = 5*c - p*r - 104. What is the remainder when 85 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 740621 and 14632.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9279?\nAnswer: 3, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -64, -9, -5, -1, 4 in increasing order.\nAnswer: -64, -9, -7, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1259, 2713, 4349, 6167, 8167?\n\"Answer: 91*q**2 + 1181*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3\/2 + 55*i**2\/2 + 65*i.\nAnswer: -5*i*(i - 13)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-3)\/6*6 + 36 + 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*o - 556 + 1041 - 486.\nAnswer: 289*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (2 - (-4 + 8))) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -45\/7, 1\/9.\nAnswer: -45\/7, 0, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(3\/17)*y\/(y**(-4)\/y)*y**(-1)*y\/(y\/y**(-4)*y))**38 assuming y is positive.\nAnswer: y**(532\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 + b. What is u(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -11) + 10 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7972 + 7972 + 49*d**2. Let n(p) = p**2. Determine q(n(t)).\nAnswer: 49*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 7:52 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 2. Suppose -4*i = 5*m - 2 + 14, -3*i - 6 = 3*m. Let x be k(m). Find the second derivative of -6 + f + f**2 + x + 2*f**2 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*b = 18*b - 50*b - 13*b. Factor -c**4 + 0 + b*c**2 - 1\/6*c**5 + 0*c - 3\/2*c**3.\nAnswer: -c**3*(c + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 53*d**2 + 111*d + 838. What are the prime factors of x(-63)?\nAnswer: 5, 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -13*x**5\/120 - 7*x**4\/12 + 11*x**3\/6 + x**2. Let r(q) be the first derivative of t(q). Differentiate r(n) wrt n.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121551?\nAnswer: 3, 31, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.712 (b) -3.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273 + 13*t - 273.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/10)\/(3\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*j**2 + 44*j**2 + 3*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.93039 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7522? (a) -1 (b) 130 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.6398703 to 3 dps.\nAnswer: -65.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 36 = -443*z + 447*z, -52*z = -2*g + 524 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 20*u + 18. Let v be a(-9). Sort -3, v, 8.\nAnswer: -3, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 19 = r - j, -5*r = -j - 119. Let b = -1511 - -1518. What is the remainder when r is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2965 from -55694.\nAnswer: -55693.7035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, v: 3, j: 1, n: 4, g: 1}. Give prob of picking 1 j, 1 n, and 1 q.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 - 7 = -5*p. Suppose p - 229 = -3*w + 4*r, 0 = 4*w + 4*r - 192. What is the remainder when 103 is divided by w?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8873 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/8 + -1)*-20. Is (v - -9)\/(1\/(-209)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4 = 0, -126*j + i = -128*j + 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6689870*m**6 + 2*m**3 - 1238936*m**2.\nAnswer: 802784400*m**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-1) + -3)*-1. Let k = 248.97 - 248. Let u = k + -0.77. Which is the smallest value? (a) u (b) 0 (c) p (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1031803 - -2?\nAnswer: 1031805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/(-287)*44\/2 + (7 - 3)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4186 - -2436. Is o at least -1753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/6 - 0 - -1. Let m be (-4)\/(-18) + 28\/((-22680)\/1395). Let c be (-2 - -3)*(-15)\/(-3). Sort z, c, m, 0.4.\nAnswer: m, 0.4, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 20, -86, 37, -41 in increasing order.\nAnswer: -86, -41, 2, 20, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26 (b) -0.2 (c) -3 (d) 10\/13 (e) -151 (f) -1\/12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 9\/908 in increasing order.\nAnswer: -5, 9\/908, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 3:24 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 63*g + 33. Let b(y) = 4*y + 2. Suppose -15*p = -14*p - f - 34, -4*p + 135 = -3*f. What is p*b(m) - 2*q(m)?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-620784)\/1746)\/72 + 5)\/((1 + 11)\/2).\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1731406)\/5073)\/(-142)*57.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (11 + -18))\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1488 = o, 10*o - 12*o = 5*p - 2985. Suppose -o = 20*u - 30*u. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let u be g(1). Let w be u + 0 - (2 - 7). Let z be (w*-125)\/(1\/124). Round z to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = 0. Suppose r + g = 32. Suppose 12*a = 36*a - 384. Calculate the highest common factor of r and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 3. Let q(s) = -s - 4. Suppose 0*j - j + 6 = 2*g, -5*j + 4*g + 2 = 0. Let r(v) = j*k(v) - 3*q(v). Determine r(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -10 (b) -2\/9 (c) -2\/5 (d) -0.5 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*r + 3*i, 4*i + 16 = -2*r - 2*r. Find the second derivative of -l + r + 0*l**2 - 1 + 3*l**2 wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2319739 is divided by 2319722?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65306 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 2*i - 1. Suppose -4*q + 48 = -0*q. Suppose -q = -4*g + 8. Is x(g) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/21265046 and 57\/7.\nAnswer: 148855322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (6\/(-56))\/(63\/(-7882)). Let p = 107\/6 + l. Let p*v**3 - 6\/7*v - 15\/7*v**4 + 0 - 3\/7*v**2 = 0. Calculate v.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 1. Let j(z) be the first derivative of z**2\/2 + 3. Let l be j(-4). What is the units digit of k(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 9. Let j be (8\/1)\/(-1 + -1). Determine h(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 17 = 5*d, 2*j = 3*j - 5*d + 13. Suppose -2*y - 8 - j = -3*p, -12 = -2*p + 4*y. What is the units digit of p + 1 + -1 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 - 84. Suppose i - d*i + 12344 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100023 (base 4) to base 15.\nAnswer: -2b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1368*0.4\nAnswer: 547.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 5. Let u = -409 - -415. Let f = u - v. Calculate the remainder when f is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l**2 + 24*l**2 - 44*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + g**2 - 4. Let f be a(3). Let j = f + -2. Calculate the greatest common divisor of 45 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.57 plus 4444179019?\nAnswer: 4444179023.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, f: 4, v: 1, a: 2, t: 2}. What is prob of picking 1 t, 1 a, and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 3*q - 28. Let n be k(12). Suppose 0 = -4*i + b + n, 3*i + 3*b - 168 = -0*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.47756168+13374\nAnswer: 13373.52243832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, w: 6, p: 5, y: 3}. Give prob of picking 1 p, 2 y, and 1 u.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*j - 2. Let i(k) = 1 - 6 + 203*k**2 + 6 - 2*k. Is i(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7235847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z - 4*r - 163, 4*z - 3*r + 234 = 0. Is z at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 12575006222?\nAnswer: 12575006223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 489942285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5 + 0 = 0, 3*d - 6*u = -15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-90))\/(-4 + 54\/15)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.79 + -0.09. Let c = -0.6975 + f. Round c to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 30*y**2 - 40*y + 227. Determine g(7).\nAnswer: 1417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4814*g + 4814*g - 37176*g**3.\nAnswer: -37176*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4 = -z, -3*c + 7*c - 4*z = 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-526*v + 857 - 857)*(6 + 1 - 15).\nAnswer: 4208*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. Which is the second biggest value? (a) -0.3 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + (sqrt(171)*2 - sqrt(171)))*-2 - -2*sqrt(171)*-4)\/((sqrt(72) + sqrt(72) + (sqrt(72) - -3*sqrt(72)*1))\/sqrt(8)*2)*1.\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxzxxzzz. Give prob of sequence xz.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.5 and 4266333311972.\nAnswer: 4266333311978.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uef when three letters picked without replacement from {f: 1, i: 3, x: 2, e: 2, t: 4, u: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {i: 1, y: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u = 10 + 290 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -10*j + 16*j. Let s be 14\/8 + (-9 - -4 - -4). Which is the nearest to 0? (a) 2 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 714387 + -242?\nAnswer: 714145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m**2 + m - 4. Let q be d(-4). Does 17 divide (114\/q - 20\/(-130))*68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 159*v**2 + 793*v - 3. Calculate p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318383 to the power of 1\/2, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4070184 (base 9) to base 4\nAnswer: 20102033020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10827*y - 151553. Determine o(-14).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/15 + 1\/3. Let b(u) be the first derivative of 0*u + 3 + 1\/4*u**4 - d*u**5 + 1\/6*u**2 - 1\/3*u**3. Find x such that b(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*g - 2 = 11, 4*g = 3*j + 27. Let w(b) = 2*b - 2*b - 2 - b. Let d be w(j). Solve 7*u - d = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85771.9l?\nAnswer: 85771900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -0.089 (b) -15 (c) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.00939, -1\/2, -0.01, 0, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-2) + 104584\/(-40224). Let b = o - -7\/419. Find the common denominator of b and (-42)\/(-40) + -1 - 2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*v + 12. Let n = v - 1. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1319 or 1354?\nAnswer: 1319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 54a0?\nAnswer: 54a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0133942 rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 0, -4.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 2010 = 3*g. Let k = g - 198. Put k, -1, 6 in decreasing order.\nAnswer: 6, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 107\/11, -2\/21, 0.1 in decreasing order.\nAnswer: 107\/11, 0.5, 0.1, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 28*t = 185. Solve t = 6*m - m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-714)\/12)\/(-7) - 3\/6. Let f = -19 + 22. Let v be -2*(4 - p)\/(-4) + f. Is v < 2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-13)\/(-3)*3. Suppose -5*m = -21 - d. Calculate the remainder when 11 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12 and -107\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/10 + (-114)\/(-15). Suppose l + 3*l = -i. What is the units digit of -1*1\/2*l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 68 - 3)*(-3 + 4 - 2)*(325 - 19*v - 325)*(-1 + 1 + 2).\nAnswer: -1254*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2014369?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + -5 + (-3*sqrt(2448)*-2 - (sqrt(2448) - (1 + sqrt(2448)*2)))**2).\nAnswer: -359856 - 504*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*m + 36, -2*m - 2*o + 5 + 21 = 0. Suppose -5*x - 26 = -11. Let v = m + x. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310 and 52018?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121509378 divided by -3?\nAnswer: -40503126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b. Let q be (-3*4\/(-12))\/(-1). Let o be z(q). Let t(p) = -7 + 6 + 3*p**o - p + p**2 - 3*p**2. Let s(x) = 3*x**2 - 4*x - 5. What is -s(l) + 4*t(l)?\nAnswer: l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30596*p**3 - 30676*p**2 wrt p?\nAnswer: 183576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(42) + (sqrt(1512) - sqrt(42)) + sqrt(42)))\/sqrt(7))\/(sqrt(10)\/(sqrt(500) - (sqrt(500) + sqrt(500)*3))).\nAnswer: 1050*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18441090 and 578?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 + -79.59. Round v to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5068.\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -79, -102, -105, -82?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 3*w + 3. Let h be b(3). Suppose h*v = 4*j + 74, -41 - 38 = -3*v + 5*j. Calculate the remainder when 53 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.262 + -0.238. What is the fourth biggest value in y, -0.4, 4, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d9 (base 16) in base 14?\nAnswer: -25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -432, 184 in descending order.\nAnswer: 184, 7, -2, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k + 6 = 0. Suppose -2*d = -k*h, 0*d - 2 = 3*h - 4*d. Solve h*s = -1 + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 27*u - 206. Let f be m(10). Put 4, f, 5, -5 in increasing order.\nAnswer: -5, 4, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/63 - (-4)\/(-14). Let j = -2880.2277 - -2880. Let f = 0.0277 + j. Which is the closest to f? (a) m (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*f - 4. Suppose 0 = -4*o - 2*i + 10, o + 4*i + i - 7 = 0. What is the remainder when f is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82298 + 82293.5001. Let a = -4.5 - y. What is a rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 3*t**2 - 33*t + 49. Let z be w(3). Solve q - 14*u = -11*u, -5*q = -z*u - 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 - 2*z**3 - 3*z**3)*(-1 + 3 - 1)*(-1 + 1 + 2).\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/h**(2\/13)*h)\/(h**38*h*h))**(-25) assuming h is positive.\nAnswer: h**(11750\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168910 is divided by 42227.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 3*i**2 + 2*i + 2. Let y be z(-4). Let f be (-2)\/1*2\/y. Let p = -13 - -18. What is the second smallest value in p, -0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160568 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*s - 273, 156 = s - 2*r + 24. What is the remainder when s is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 10*x + 9. Let n(p) = -2*p**2 + 16*p - 3. Calculate the remainder when n(4) is divided by o(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/2 - (5 - 13). Let d be -465*4\/f*-1. What is the tens digit of 3 + 5\/(15\/d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -380, 0, -49 in descending order.\nAnswer: 3, 0, -3, -49, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*r - 1 + 0 + 26*r to the form c + t*r and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 11 = 23*s - 18*s, 3*s - 7 = -k. Factor -10\/7*o**4 - 20\/7*o**2 + 10\/7*o - 2\/7 + 20\/7*o**s + 2\/7*o**5.\nAnswer: 2*(o - 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -4 (c) -0.8 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -7*m**3\/2 + 5*m. Let u(b) = -3*b. Determine u(q(r)).\nAnswer: 63*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7060 = 44*d - 40*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5 - 1216*i**4 + 25173*i**3 - 92474*i**2 - 883744*i + 5047680 = 0.\nAnswer: -6, 8, 11, 1195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-237)\/(-6636)*(-3 - -7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1.5, -804, 3?\nAnswer: -804","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x + 9 - x**2 - 9. Let d = -49 + 74. Calculate the remainder when d is divided by q(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 21*n**5\/20 - 391*n**4\/2 - 112*n**3 - 796*n. Let l(t) = 0. Calculate t.\nAnswer: -2\/7, 0, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, k: 1, v: 5}. Give prob of picking 2 b.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -5\/6*m**3 - 5\/2*m**2 - 1\/12*m**4 + 0 + 4*m. Give v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, u: 2}. Give prob of sequence juu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76555643*o**6 + 37441*o**2 - 7*o + 318 wrt o?\nAnswer: -9186677160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3480903*l**4 + 3*l**2 - 20241*l - 647.\nAnswer: -41770836*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 5:28 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 - 2*o - o + 3*o - 3*o.\nAnswer: -7*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**5\/150 - v**4\/10 + 9*v**2 + 21*v. Factor b(f).\nAnswer: 2*f*(f - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5736721951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**6\/120 + k**5\/20 + 5*k**2 + 3. Let g(i) be the second derivative of b(i). Find the third derivative of g(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000275469 to six decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 101 = -v. Let p(q) = -q**2 - 8*q - 1. Let o be p(-8). Let d be 1 - (-2 - v\/o). What is the greatest common divisor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*(-3 - -4) - (1728 + -1756).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {g: 1, c: 1, t: 1, l: 1, o: 2, m: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000010010001110011 - 101?\nAnswer: -110000010010001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 146*(4 - (-18)\/12). Suppose s*c - 808*c = -1845. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 8:11 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479128.\nAnswer: 2, 13, 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let b(q) = 4*q - 2. Let a = 25 + -19. Give a*r(y) - b(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*n - 85, -5*s - 3*n + 147 = -0. Let h = 397 + -2017\/5. What is the common denominator of h and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-15))\/((-1)\/5) - -6. Solve 5*t + w = -v, -4*t - 3*v - 1 = 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + ((2*sqrt(204) + sqrt(204))\/sqrt(12))**2).\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -102819 take away -0.4638324?\nAnswer: -102818.5361676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1 - 4 - 192*s + s**3 + 18*s**2 - 23*s**2 + 195*s. Give u(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 2*l - 3. Suppose -3*i - 56 = -56. Calculate u(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -389*v - 29944. Calculate the remainder when (-4)\/6 - (-190)\/6 is divided by l(-77).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 24?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + (sqrt(85) - sqrt(85)*-1))*3)\/(sqrt(5) + sqrt(15)\/(sqrt(3) + sqrt(15)\/sqrt(5) + sqrt(3))).\nAnswer: 27*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h + 8*h**2 + 0*h**2 - h**3 - 2*h - h**3.\nAnswer: -2*h*(h - 3)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**3 + 416*h**2 + 11*h - 1140. What is j(104)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 67 - 36 - 11 - 1297*q)*(-2*q + 0*q - q) to u + f*q + a*q**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-2) + (-17)\/(-17). What is the lowest common multiple of 16 and j\/25 - (-284)\/20?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/25*18\/(-8) and ((-3335)\/460 - 7\/(-3)) + 1\/3?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 6*x + 4. Give f(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45397303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -8049\/19414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 918, 1829, 2740, 3651?\nAnswer: 4562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653 is divided by 56?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - c + 3. Let y be g(0). Let x(p) be the first derivative of p**4\/4 - p**3 + 3*p**2\/2 - 3*p - 29. Determine x(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1470\/(-420))\/(21\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3417000 rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((104\/364)\/(5\/(-7)))\/((-2)\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -14*k**3 - 9*k**2 + 4*k - 4. Let t(j) = -16*j**3 - 11*j**2 + 5*j - 4. Give -5*a(l) + 4*t(l).\nAnswer: 6*l**3 + l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4 = m - 3, -3*m + 13 = -4*n. Let o be 17\/84*-2 - m\/2. Which is the nearest to 0? (a) -0.4 (b) -2\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-8)\/4)\/(2\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38727.1 - -38727. What is the third smallest value in 17, -2, b, -5, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 17143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -2*l + 5*l. Let w = 25 + -52. Let a = w + 37. What is the remainder when l is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 7. Let g = b + -9. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 157740.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 6) + -5 + 144 + -170\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 5:34 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 25*p**2 + p + 1. What is the tens digit of a(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, n: 2, b: 2, k: 2, a: 1}. What is prob of sequence knv?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*u + 191, 445 = -4*m + 4*u + 137. Sort 5, -1, m in ascending order.\nAnswer: m, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4*z = 8. Suppose 3*k + 8 = -10. Let t = z - k. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9}. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*d - 126*d = 120. Solve -5*o + i = d - 6, -4*o = 5*i + 17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2 + 2*t + 1. Let z(y) = -201*y**2 + 6*y + 4. Determine 4*i(f) - z(f).\nAnswer: 189*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*y**2 - 2219452*y - 2219468.\nAnswer: 4*(y + 1)*(4*y - 554867)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/4*8\/5. Suppose -2*t - 2*t - k = 0. Which is bigger: t or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 255.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -47?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 9)*(12\/1272)\/1. Put -2\/3, 5, u, -0.4, 0.5 in ascending order.\nAnswer: -2\/3, -0.4, u, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 27. Let r(m) = 187 - 7*m**i - 2*m - m**3 - 5*m - 189. Give r(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - 63317?\nAnswer: -63301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r = -16*r - 154. Solve r - 54 = 5*s + 5*d, 7 = -4*s + d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 4357556?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 11*z**2 + 12. Let h be o(-11). Suppose 0 = 2*b + 4 - h. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, k: 1, v: 9}. What is prob of sequence vvk?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -238 + 367. What is the remainder when g is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from mmmmmemmmem.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-2) + (-3)\/18*3. Let p = 305 + -311. Put p, 3, x, 5 in decreasing order.\nAnswer: 5, 3, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*b - 2*f, 11*f - 6*f = 5*b + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3356784155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -11*q**6\/6 - 5*q**3\/6 - 2*q**2 + 37*q. What is the second derivative of y(d) wrt d?\nAnswer: -660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8320*k = -2333*k + 6078*k + 398145 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328886711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1106.63 - 1300.146. Round p to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.73243 and -9.9.\nAnswer: -13.63243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 6*f**2 + 24*f - 27. Let p be a(-9). What is the biggest value in 1.1, 4, 2, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(1885\/(-4))\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65054 and 14531.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -705570*k**3 + 791849*k**2 wrt k?\nAnswer: -4233420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24935100 rounded to the nearest 100000?\nAnswer: 24900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 151 = 121. Let m = g + -52. Solve q - 1 + m = 3*d, -7 = 2*d + 5*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -0.6. Let y = 6183 + -6178. What is the closest to -2\/17 in y, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 391 + -401. Let k(j) = -j**2 - 6*j + 13. Determine k(p).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -30915*z**2 + 23*z + 322. Let i be y(-9). What is i rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220510 (base 7) in base 10?\nAnswer: 38668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.8 (b) -1 (c) -24280\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 6:59 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.057*-2598\nAnswer: -148.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*o - 2*o - 1 = 0, 0 = -2*c + 5*o + 5. Suppose -4*n = c*y - 475 - 45, -3*y + 5*n = -312. Suppose y = 4*p - 0*p. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4416*l - 3568. What are the prime factors of v(3)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from {u: 1, z: 10, p: 1, c: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -5.7. Let x = -81.1 - -81. What is the nearest to x in 2\/17, l, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165455800 by 475.\nAnswer: 348328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3025*c**5\/3 - 935*c**4 - 33347*c**3 - 197839*c**2\/3 - 4664*c - 84 = 0.\nAnswer: -3, -2\/55, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13062*y + 1 = -13062*y + m, -y - 4*y - 4*m = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33704 + -1550455\/46. What is the common denominator of (-1)\/((-12)\/274) - 1 and x?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**7\/168 - 7*f**6\/360 + f**3 + f**2. Let m(v) be the first derivative of k(v). Find the third derivative of m(z) wrt z.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/684 and 59\/44.\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 24*q. Let t(k) = -2*k**2 + k + 6*k - 7*k. Determine u(t(a)).\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*l - 3*l - 28 + 20*l)*(0*l**4 + 2*l**4 - 3*l**4).\nAnswer: -2*l**5 + 28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = k + 4*k + 25, 0 = p - 4*k - 20. Suppose 3*g - 28966 = a, p*g - 2*a = g - 9646. Let x = -4254 + g. What is x rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**2*q\/((q**(2\/17)*q)\/q)*(q*q**(-2\/7)*q)**(-2\/47) assuming q is positive.\nAnswer: q**(-1066\/5593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74569741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026 + -0.41?\nAnswer: -0.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 + 20 + -12 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(204) + sqrt(204) + -3*sqrt(204) + sqrt(204) - sqrt(204)) + sqrt(204)))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15442 (base 6) to base 4\nAnswer: 213302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018398 rounded to 6 decimal places?\nAnswer: 0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 c when three letters picked without replacement from {k: 4, f: 4, i: 3, c: 2, l: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*l**2 - 32\/9*l - 32\/9 + 2\/9*l**3.\nAnswer: 2*(l - 4)*(l + 1)*(l + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k + 21 + 49. Suppose -5*f + 34 = -k*m + 4, -2*m = f + 3. Suppose 3*h - 5*h + 4362 = 4*x, 0 = 3*h - f*x - 6534. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwdddwee. What is prob of sequence wwd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131715399 and 1695?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3023*l - 1687*l - 1208*l + 732*l + 86*l - 2037*l + 3*l + l - 3*l + (-2*l + 2 - 2)*(1 - 1 - 1) + 4*l + 2*l - 2*l + 0*l + 3*l - l.\nAnswer: -7128*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2757 + 2760. Let t(s) be the second derivative of -3\/2*s**2 + 0*s**z + 0 - 14*s - 1\/12*s**4. Calculate t(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + 18 - (-1 + 6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + n**2 + n + 4. Let q be x(0). Differentiate q - 12 + 1 + 7*y wrt y.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -6*c**4 + 2*c**3 - 14. Find the third derivative of d(g) wrt g.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2*-3*(-1)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25b8 + -25a?\nAnswer: -2856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.1 and -18783079982.07?\nAnswer: 18783079984.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-2)\/(-9)*-3 - -1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 2. Let x(m) = 2*m**2 + 4*m + 3. Let v be x(-2). Solve y*w - v = -15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -194 and 0.08.\nAnswer: -15.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1373 is divided by 1358?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 7. Suppose -d + o*x + 14 = 0, -5*d + 2*x + 21 = 5. List the prime factors of d*2\/(-10) - (-536)\/40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -78.2 and -24.\nAnswer: -102.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -700, -2782, -6246, -11086, -17296?\nAnswer: -24870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1341\/(-7452))\/(5\/21). Let l = 2\/345 + w. What is the second smallest value in -5\/13, 0.1, l?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -1881\nAnswer: 5643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 904\/15 + -381\/10. What is the common denominator of y and -70\/603?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531227 = 2*a - 3*r, -86*a + 81*a + 2*r + 1328029 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27\/15)\/(51\/340). Let m(k) = -20*k - 8. Let y be m(-7). Calculate the highest common divisor of v and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 45 = 132. Let m = l - 17. Suppose 5*a - 4*a = m. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*p - 4 + 243*p - 122*p - 18*p**4 + 3*p**2 + 11*p**4 - p**2 - 10*p**3 as f + h*p**4 + d*p**2 + y*p**3 + j*p and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20394588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 18 = 17*l - 15*l, w - 7 = -3*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1345.8 and -10503.\nAnswer: -11848.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -3. Let i = 8 - m. Let v = 7 + i. Solve -v*n + 0 - 19 = w, -10 = -2*w + 4*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.3. Let k = -93 + 90. Let t be k\/117*-6 + 10\/104. What is the closest to -2 in t, o, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/(1437\/180 + -8).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 6*i**2 - 6*i - 4. Let a(z) = z**2 + z - 1. Let b(v) = -2*a(v) - k(v). Let t(m) = -2*m - 15. Let l be t(-10). Determine b(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llwwllw. What is prob of sequence llww?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 849648 and 213156.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 30*w - 38*w - 29, 2*w + 2 = 24*q - 20*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-22 - (-23 - -7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3649251.7 to the nearest one thousand.\nAnswer: 3649000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256254.\nAnswer: 2, 628127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*s**3 + 621*s**3 + 686*s**3 + 193*s**3.\nAnswer: 1416*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 19. Suppose y + 3*d - g = -0*d, 4*y - 4*d = 64. Suppose -4*x - 27 = -83. What is the least common multiple of y and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*w**3 - 984*w**2 + 896*w = 0. Calculate w.\nAnswer: 0, 28\/29, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 2*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 491\/2455 + 1*-1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26828 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32 + -635413?\nAnswer: -635445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.529985028 - 16.53. What is n rounded to 7 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 13*h - 42.\nAnswer: -(h + 6)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k**3 - 2*k**2 + 2*k - 1. Let q be j(1). Find the third derivative of -m**6 - m**6 + 15*m**2 - 3*m**6 + q*m**2 wrt m.\nAnswer: -600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k + 3 - 3)*(-15 + 9 + 1)*(-194*k + 84 - 84) - k**2 - 4 + 4 + (0*k + 0*k - 2*k)*(2*k - 1 + 1) to z + s*k**2 + w*k and give s.\nAnswer: 1935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 19774 - 59040 = -a, 0 = 4*a + 16. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 2106.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 11 - (-3 - (-5 + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 3. Let r be b(-5). Suppose -3*p + 0*p = -4*m - 3083, 4*p + 4*m - 4092 = 0. What is the second derivative of p + 2*q**r - 1025 + 6*q wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 36*k - 149. Let w be r(31). Let y(o) = 8*o**2 - 2*o. Let h(v) = 15*v**2 - 3*v. Determine w*h(l) - 10*y(l).\nAnswer: 10*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-9) - (4652\/(-18) + 5). Suppose -256*s + j*s + 3 = 0. Which is bigger: -10\/53 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 p when three letters picked without replacement from ftftftttpfpppp?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 0 - 5. Suppose 0*q + 3*q - 3*r - 36 = 0, 0 = -2*q - 4*r. Suppose -3*w - 5 = -q*w. Is w at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4156*f = 4145*f + 341 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g**2 + 26. Let m(r) = 39*r + 5 - 3*r - 36*r + r**2 + 0. Suppose 1 + 8 = 3*w. Calculate w*l(d) - 16*m(d).\nAnswer: 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9 - 1 = -4*h, -4*h - 5*b = -19. Let v(x) = 5*x**3 + x**2. Let z be v(h). Which is bigger: z or 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 times -47\nAnswer: 126.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 7*p**2 - 44*p + 12. Calculate the least common multiple of 3 and n(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 + 1 - 1)*(-3 + 1 + 1) + 2 - r**3 - 2 + (0*r - r + 3*r)*(-r**2 - 3*r**2 + 5*r**2).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7b - -2?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 i when three letters picked without replacement from {x: 2, i: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Let q = 52 - 50. Is q > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5.5. Let f = -0.4 + n. Which is the closest to f? (a) 3 (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 741 and 197782.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 5 (c) -1\/2 (d) -1\/9 (e) 266 (f) -266\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, o: 7, m: 2}. What is prob of picking 2 o?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6724 + 6724.8394. Round n to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 279*c**2 + 8649*c + 89373.\nAnswer: 3*(c + 31)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**3\/3 + 51619*b**2\/3 + 666207712*b\/3 + 666052864 = 0.\nAnswer: -25808, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1. Let t(g) = 3*g - 12. Let i = -2 - -3. Suppose 0 = 3*j + 4*l + 961, 0 = -j + l + 2*l - 342. Let w = -339 - j. Give i*t(b) + w*x(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14938, 29869, 44778, 59653, 74482, 89253?\nAnswer: 103954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34704505 and 2523964.\nAnswer: 138818020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 34*u + 47. Let w(o) = 27*o + 48. What is 4*c(i) - 5*w(i)?\nAnswer: i - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 6*a**2 + 12 - 22*a**3 + 24*a**3 to g*a**3 + m*a + d*a**2 + k and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13 - (-5 + 14))\/(2\/1). Solve 2 = -8*y + 5*y + j*b, -5*y - 30 = 2*b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5258488 is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*h - 3*c + 80, -5*h + 140 = 5*c. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 + 88.5. Which is the third biggest value? (a) -5 (b) -0.5 (c) x (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50533 is divided by 1203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7\/5)*b**(-1)*b)\/(b*(b**4*b)\/b)**9)**15 assuming b is positive.\nAnswer: b**(-696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 - 0.11. Let i = -1.83 + t. Let z = 0.478 - -0.822. Which is smaller: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7*-1)\/1*-1. Let b(h) = h**2 + 7*h + 4. Let g be b(c). Suppose -3*y + g = 3*o, 3*y = -2*y - 15. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18569500?\nAnswer: 2, 5, 37139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2660, -10649, -23962, -42599, -66560, -95845, -130454?\n\"Answer: -2662*r**2 - 3*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 130*o - 647. Let b be w(5). Solve 0*j - 2*j - b*r = 9, -r = 5*j - 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261 (base 11) to base 3.\nAnswer: 102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 2*f - 44 + 11)*(f + 0*f - 3*f).\nAnswer: -4*f**2 + 122*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 412959?\nAnswer: 3716631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (3 - (-2)\/(-1)). Suppose -l - 27 = 3*l - w*c, -c = -1. Let u be -10*(-200)\/l*-1200. Round u to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1977 - -1977. Solve g = -9*f + 55 - 28 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 4:17 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9557.3783 rounded to the nearest 10?\nAnswer: -9560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, -4, 5\/12, 4, 1.17?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**10*b)\/b)\/(b*b*b**(-1\/5)))**(-31)*((b\/(b\/(b**(1\/4)\/b)))**(-13\/7))**10 assuming b is positive.\nAnswer: b**(-16819\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 177 - 174. Suppose -3*b + u*a + 463800 = 0, -3*b + 521546 = 3*a + 57746. Round b to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69210551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3492 + -15015?\nAnswer: -184a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 5, 0 = 2*v - 1273826*t + 1273827*t - 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2798 is divided by 900.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 186.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3001\/58 = 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 677269113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvaaaqgvgavgggv. Give prob of picking 1 g and 2 v.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f = -6*f - 84 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 170\/41 or -0.2993?\nAnswer: 170\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 35*j - 115. Let l(g) = -16*g + 57. What is 13*l(v) + 6*r(v)?\nAnswer: 2*v + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9620 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5 - 4*x**4 - 90*x**3 + 460*x**2 - 752*x + 384 = 0?\nAnswer: -8, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*l - r = -111*l + 1, 4*r + 10 = 2*l. Which is the smallest value? (a) -1\/6 (b) l (c) -0.1 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7381726189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -149*w**4 + 174*w**3 + 23647?\nAnswer: -596*w**3 + 522*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*p**2 - 2*j**2*y**2 - 7*j**2*y - 2181*j*p**2 - 30*j*p*y**2 + 4*j*p*y + 15*j*y - 4289*p**2*y**2 - p*y**2 - 2 wrt p?\nAnswer: 2*j**2 - 4362*j - 8578*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - 113.1. Let i = b + 1.12. Let q = -0.0552 + i. Round q to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.095 - -4.595. What is the fourth smallest value in 0.04, -0.108, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 26) + -1 - 1723428\/(-41034).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (12 - 16) + -60 + 26.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*6\/(-48)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1375) - (sqrt(1375) + sqrt(1375) + sqrt(1375)*1 + sqrt(1375))*-6 - sqrt(1375))\/(-2*2*sqrt(720)).\nAnswer: -5*sqrt(11)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61 times -74407.6?\nAnswer: -45388.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c - 31*c = 168. Let i(s) = -s + 216. Is i(c) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70356 divided by 156.\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 14*t**2 + 5. Let b(g) = g + 21. Let f be b(-7). Let p be u(f). Suppose 0 = p*n - n - 68. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 11*o**2 - 2*o - 1. Let u be k(3). Suppose d - u = -d. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820150469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2590, -2592, -2594, -2596, -2598, -2600?\nAnswer: -2602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -11*g + 7. Determine u(6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5 (b) 59 (c) -4 (d) -0.3 (e) -2\/9 (f) 0.089 (g) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0 (b) 23\/7 (c) 35 (d) 3\/80 (e) -1.2 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 618584327 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6426 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -7) + 0 + -3. Suppose 3*t = -t. Let w(g) = -8*g - 1. Let j be w(-1). Sort t, n, j.\nAnswer: n, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -23 and -13\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10343 (base 6) to base 4.\nAnswer: 112113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4766362256?\nAnswer: 2, 297897641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-52)\/91 - (-994629)\/(4 + 104\/16).\nAnswer: 2, 47363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2645652500 to the nearest one million.\nAnswer: 2646000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t - 3. Let d(s) = 13*s**2 - 5*s + 20. Let p(n) = 3*n**2 - n + 4. Let h(c) = d(c) - 5*p(c). What is o(h(g))?\nAnswer: -14*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -23. Let h = u + -1. Suppose 3*a + 4*d - 17 = h, -a - d + 6 - 1 = 0. Solve j = 5 - a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 7*d + 197. Let c be b(-18). Is c bigger than -16\/185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -76 + (-3 - -1)*1. Let m = k - -121. Suppose -q + m + 0 = 0. What is the remainder when q is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-241 - 19 - 1964)*(3 + 2 - 3)*(0 + 4 - 2)*(5 - 5 + 2*h) to d*h + i and give d.\nAnswer: -17792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/77 - -10\/11. Let v = 248\/133 - 30\/19. Factor -o*h**4 + 4\/7*h**2 - 6\/7*h + 2\/7*h**5 + v + 4\/7*h**3.\nAnswer: 2*(h - 1)**4*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbmoooobobbobbb. What is prob of picking 1 o and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + v**5 + 0*v**5 + (0 - 2*v + 0 + 3*v + v - 3*v + (4*v - 2*v + 0*v)*(0 + 4 + 1))*(0 + 0 + v**4).\nAnswer: 11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -13*w**7\/105 - 23*w**3\/6 - 33*w**2. Differentiate j(f) wrt f.\nAnswer: -104*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-14)*(-21)\/(-90) + 14\/30. Which is greater: -2428 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + o + 10517 = 0, -4*c + 5*o = 2692 - 13229. Suppose 0 = 7*p - 4*p - c. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.4*-0.063.\nAnswer: 1.1592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a factor of 1215939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 193*p**2 + 1. Let i be v(-1). What are the prime factors of 1\/2 + i\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*y - 6 = 8, -3*j + 11 = y. Suppose 0 = -3*m + 2*o + 829, -722 + 180 = -j*m + 4*o. List the prime factors of m.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/(12\/(-2))*(-3 + 4). Let y(h) = h**3 + 21*h**2 + 50*h - 7. Is 25 a factor of y(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.035021 and 5?\nAnswer: -0.175105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 + 95. Calculate the remainder when 309 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 11 = -4*z, 6*s = 4*s + 6. Factor -4\/3 - 8\/3*x**z + 10\/3*x + 2\/3*x**3.\nAnswer: 2*(x - 2)*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*l - 9*l, 5*x = -l. Sort -1\/4, -3\/2, 0.1, x in descending order.\nAnswer: 0.1, x, -1\/4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87\/332 - 1\/83. Which is the smallest value? (a) v (b) -0.1 (c) 0.3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*g + 3835 - 27*g - 20427*g**3 - 3835 - g**3 + 0*g**3 + 2*g**3 + (g - g + 2*g)*(g**2 + g**2 - 3*g**2).\nAnswer: -20428*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -932 + 1232. Which is bigger: u or 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 116*o**5\/5 - o**3 - 1832*o - 1661. What is the derivative of g(u) wrt u?\nAnswer: 464*u**3 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/5 - 1744*g\/5 + 21504\/5.\nAnswer: -4*(g - 12)*(g + 448)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 5991*c - 5*c**2 + 5864*c + 6019*c - 17874*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w - 2*t - 6, 4 = 4*t. Suppose 116 = w*a + 2*d, 0 = -4*a + 5*a + 4*d - 15. Calculate the greatest common factor of 279 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -199acc (base 14) to base 7\nAnswer: -10511145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = -25. Let v be 15*(136\/280 - (-2)\/(-7)). Solve -v*m + b - 19 = -3*b, 2*b - j = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27371325 = 27371322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 - (-108)\/(-80)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560 and 384.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -69, -136, -219, -312?\n\"Answer: t**3 - 17*t**2 - t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 148 times -0.036\nAnswer: -5.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**4 + 36353*q**3 + 154399*q**2 - 263478*q - 381528 = 0. Calculate q.\nAnswer: -9084, -21\/4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1, -0.23, 9, 424, -4 in descending order.\nAnswer: 424, 9, 0.1, -0.23, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7895 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygyrykkyyryyyryykygy. Give prob of picking 1 g and 1 r.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2107 or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(77) + -2*sqrt(77)) - sqrt(77)*2*3)\/((sqrt(1584) - (sqrt(1584) - (sqrt(1584) + 1*sqrt(1584))))\/sqrt(4))*4.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(114))\/(sqrt(540)\/sqrt(10))*-2*2.\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = -9*d + 3627. Let f = d - 241. Calculate the greatest common factor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37224 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/17))\/l**(-10)*(l**(-1)\/l*l)**(1\/69) assuming l is positive.\nAnswer: l**(12817\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19255 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**2\/2 + x + 6. Let h(q) be the second derivative of 4\/3*q**3 + 4*q**2 - 2*q + 0. What is h(u) - 6*z(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-3))\/168*-2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4\/11 + 104*r**3\/11 - 5254*r**2\/11 + 10188*r\/11 - 5040\/11 = 0. What is r?\nAnswer: -84, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -5. Let r be 3*(0 - (-155)\/15). Suppose r*p - 236 = -50. Solve -p = -4*f - 2*n, -2*n = -b*n - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87 and 276.\nAnswer: 8004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606733.\nAnswer: 606733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -695 - -1172. Calculate the remainder when q is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249137*s**3 - 497990*s**3 + 249028*s**3.\nAnswer: 175*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, m: 1, s: 2, c: 1, h: 4, x: 6}. What is prob of picking 1 o, 2 x, and 1 c?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k - 18. Let y(q) = -q - 2. Calculate l(c) - 6*y(c).\nAnswer: 3*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -14 + 3 - 7 - 3 + c. Suppose 9 + 14 = o. Let l be b(o). Solve -5*d + 9 + 1 = 2*t, 2*t - 10 = -l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -393 + 501. Let k = c + -105. Solve 5*z - 5 = -k*m, m - 1 = -4*z + 2*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.3 in -3, 5, -2, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40560 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2756712, 2756715, 2756710, 2756691, 2756652, 2756587, 2756490?\nAnswer: 2756355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18443 is divided by 439.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**2 + 69*s - 1404 = 0.\nAnswer: -36, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2945, 6130, 9315, 12500, 15685, 18870?\nAnswer: 22055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + 0.59. Let c = 0.3 - p. Is 4 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-24))\/((-3)\/(-12)))\/((-71)\/(-426)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 + 7415086626.\nAnswer: 7415086595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*y + 18*y - 169*y)*(0 - 3 + 2).\nAnswer: 133*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/6922680 and 55\/32.\nAnswer: 27690720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.3 and 1753981.1.\nAnswer: -4034156.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 0*c**2 + 30*c - 30*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + 24*g + 6*g**5 - 53775*g**3 + 53775*g**3 + (-3*g + 0*g + 4*g)*(4*g**4 - 6*g**4 + 4*g**4).\nAnswer: 8*g**5 - g**4 + 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134103140*o**5 + 35973057*o**2 - 1.\nAnswer: -8046188400*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(9*14\/(-819)) - 65)\/(-2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2901 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q. Suppose -27 = -2*x - h, -2*x = -q*x - 3*h - 31. Suppose 2*d - x - 6 = 0. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**4*j + 78*h**4 + 162*h**2*j + h - 3*j wrt h.\nAnswer: 72*h*j + 1872*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeyyeyy. Give prob of picking 1 y and 3 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**3 + 2706900*a**2 + 86618496*a + 692941824 = 0. What is a?\nAnswer: -902268, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-6 - 3) + 2. Let a = 4 + o. Let w = 26 - a. Calculate the highest common factor of w and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of (8\/(-16) + (-34)\/(-20))*700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47959 - -47734.83. Let v = w - -224. What is the closest to 0 in -1, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/5*(9 + 1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68)*-2 + sqrt(68))*-5)\/(3*sqrt(36)) - (sqrt(833)*-1 + (sqrt(2057) - (sqrt(2057)*2 + sqrt(2057)))).\nAnswer: 29*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 4716.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -100 - 96. Let q = 30 + j. List the prime factors of ((-48)\/(-20))\/((-96)\/(-45) - q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 41 = 13*l. Solve 3*y + 0*y - l = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23495, -11, 0.27, 0.4 in decreasing order.\nAnswer: 0.4, 0.27, -2\/23495, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-56))\/(-3)*(3\/36)\/((-1315)\/(-157800))?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351*g - 9 - 1213*g + 4 + 5.\nAnswer: -862*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5716873 - 2.\nAnswer: -5716875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630 and 360.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*s + 5732 = 207*s - 10843 for s.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 12*q + 39. Let j be w(-3). Solve -4*r + 7 = j*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 129 (c) 5 (d) 0.28 (e) 0 (f) 1\/78\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - t**2 - t - 2. Let a be j(-2). Let f(d) = d**2 + 11*d - 10. Let m be f(a). Suppose -m*o - 9 = -59. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:35 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8701 - -5?\nAnswer: 8706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 653804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/196 and 119\/16236?\nAnswer: 795564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = 33*j + 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 441 = 5*n, -4*n - 2*k + 284 = -74. Let p = 87 - 75. Suppose -4*o = -p - 24. Calculate the remainder when n is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 812224 and 130499.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*o**2 - 2*o**5 - 16*o**2 + (-o**4 + 1 - 1)*(-2*o + o + 3*o).\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -176671*s**4 + 2*s**3 + s**2 - 562312*s.\nAnswer: -2120052*s**2 + 12*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361156 divided by 4?\nAnswer: 340289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 2, -969, 7 in ascending order.\nAnswer: -969, -5, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -32 - ((39 - (-38 + 135)) + 4)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 7*l + 21. Let g be y(9). Let z(m) be the third derivative of 0 + 1\/8*m**4 + 0*m - m**2 + 1\/6*m**g. Differentiate z(u) wrt u.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2793 + -2794. Which is the third biggest value? (a) 0.11 (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4042660717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-19)\/(190\/(-2360)))\/(6\/1020).\nAnswer: 2, 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 + 102 - 3*s + 99.\nAnswer: -3*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 213.06756ms?\nAnswer: 0.003551126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3652\/13 - -18299\/65. What is the closest to -0.3 in -100, c, -5\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5740, 22924, 51558, 91642, 143176, 206160, 280594?\nAnswer: 366478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -539 + 586 + -2 + 2 + -17\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (4 + -17 - -6)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/11))**(-37) assuming h is positive.\nAnswer: h**(37\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3385179.\nAnswer: 3, 7, 17911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.176 + -43.376. Let z = v - -43. What is the nearest to z in -1\/4, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2 - ((-135)\/(-6))\/(-15))\/((-8)\/216)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 7*x + 8. Let k be n(-6). Let p be (-1 - (-70)\/(-7))*-28. Factor 5*s**3 - 97 - p - 181*s - 95*s**k + 676*s.\nAnswer: 5*(s - 9)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 30543156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4784.189 litres?\nAnswer: 4784189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*m + 219*m = 0. Put m, -2, -4, 12 in ascending order.\nAnswer: -4, -2, m, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -63*s**2 + 159*s - 90. What is f(2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2063, 2, -3, -1, 0, -6, 6.\nAnswer: -2063, -6, -3, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30192)\/(-42)*1\/(-2). Let x = 360 + d. Let g = x - 1\/14. Is g != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(336\/32))\/((-8)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1831*k**4*z + 7*k**2*z + 26*k**2 + 608656*k*z + k wrt k?\nAnswer: -21972*k**2*z + 14*z + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 52?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g. Let w be -1*(9 + 6\/(-3)). Let p(l) = 2*l + 8*l + 7*l - 9*l. Give w*v(i) + 6*p(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -94 or -4903\/52?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -2027?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36002*s**4 + 272*s**3 + s**2 + 339365655*s wrt s?\nAnswer: -432024*s**2 + 1632*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1)*(10 - ((5 - -7) + 8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 2*v + 10*v - 2. What is the closest to -2 in v, -2\/25, 3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(5\/10*(-4)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 985 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3989 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29634, -29596, -29558, -29520?\nAnswer: -29482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -61*j + 1192. Determine v(19).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - -1) + -2 - (193 + (13 - 196))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0)*-1*64\/16. Let o(t) = -37*t**2 + d*t + 75*t**2 - 16 - 35*t**2. What are the prime factors of o(7)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -11*w**2 + 0*w**3 + w**3 + 12*w - 2*w**3. Let s be m(-12). Solve s = 4*y + 16 - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*j + 20851619 = 20848259 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -429102*g. Let o(v) = 5*v. Calculate o(r(c)).\nAnswer: -2145510*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 - 36*z\/11 + 160\/11.\nAnswer: 2*(z - 10)*(z - 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/15 - 2\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/5*(-100)\/(-40). Solve 4*t - 5*o + r - 8 = 0, -2*t = 4*o - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21715 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, -2\/7, 104?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.062\nAnswer: 0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16a55 - 333?\nAnswer: -17188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 273, 568, 875, 1200, 1549, 1928, 2343?\n\"Answer: n**3 + 288*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -14 + 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6*-4)\/((-51)\/3).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*z + 2*z + 13, 2*z = -4*n - 18. Let f = -2 - n. Factor 0*y**2 - 2\/3*y**4 + 0 + f*y**3 - 8\/3*y.\nAnswer: -2*y*(y - 2)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -76 + 251?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20776 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/1903 + -154079\/15224. Find the common denominator of k and (-113)\/12 - (-2)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p - 10. Let r be s(9). Let x = -24 - -25. Suppose 3*g - 29 - x = 0. Calculate the greatest common factor of g and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 + 137. Suppose -7*x = -118 - 64. Let j = h - x. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/sqrt(90))**2 - sqrt(104)\/(sqrt(32)\/sqrt(4)).\nAnswer: -sqrt(13) + 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51552305 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -b + 3*k, 8 = k - 5*k. Solve -3*r - 2 = -b*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9387 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(55)\/sqrt(5)) + 1 + sqrt(52)\/sqrt(4) + sqrt(13) + sqrt(13))**2 - sqrt(39)\/(sqrt(108)\/sqrt(4)).\nAnswer: 23*sqrt(13)\/3 + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -9020*g**3 - 6312*g**2 + 50516*g - 35184 = 0.\nAnswer: -3, 1, 2932\/2255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465760 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 255 in -7, -5\/2, 0.0358?\nAnswer: 0.0358","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = 5*i - 3*u, 0 = 5*u. Let f be 7\/21 + i\/(-3). Solve 9*p - 6*p = f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 21, -3, 6, -2\/45 in descending order.\nAnswer: 21, 6, -2\/45, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -23508.8308875 + 162?\nAnswer: -23346.8308875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4505552 and 231816.\nAnswer: 5944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/(-9)*1\/1*1\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 537*c*o**2*s + c*o*s**3 + 8*c*o*s**2 - 49*c*s**3 - 105*o**2*s**3 wrt s?\nAnswer: 6*c*o - 294*c - 630*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -2\/5 (b) 1\/3 (c) -4 (d) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5495*o + 38901 + 286521 - 12207 for o.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -284 divided by 1\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 100?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378835 is divided by 6822.\nAnswer: 3625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.055, 3\/7, -0.06, -0.1 in ascending order.\nAnswer: -0.1, -0.06, 0.055, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001756127523 rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 5188.4, -0.4, 1\/3?\nAnswer: 5188.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 232.980335 to the nearest integer.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (32 + -59)\/27.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/2 + 171*k\/2 - 350 = 0.\nAnswer: -175, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 5:50 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -40, 42 in decreasing order.\nAnswer: 42, 0, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7 - (21070\/(-3150) - (-1 - -1)) and -139\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-15))\/((-2)\/40). Suppose -3*a - 1015 = -r*a. What are the prime factors of a?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1499081 and -0.9.\nAnswer: -1349172.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102021 - 10?\nAnswer: -102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1229 - -1228.99387. Round v to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/(-5))\/(2\/1))\/(630\/126).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3609*r + 3593. What is h(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-38)\/(-10) + 48\/15 + -3. Let t(w) be the first derivative of -1 + 12 + u - 7 - w - w**3. What is t(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Suppose 5*s + 4*k = 11, -2*k = c*s - 3 - 4. Let y be (-7)\/(1\/(s - 4)). Solve -2*v - 5 = -y*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.2. Let v = 0.69 - -0.21. Let h = 2.9 - v. Put j, h, 4 in decreasing order.\nAnswer: 4, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r - 6, -d + r = -133. Does 50 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*v**4 + 238976*v - 2097860.\nAnswer: -76*v**3 + 238976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337340.3l in millilitres?\nAnswer: 337340300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -51. Let x be a\/(-7) - 6\/21. What is the common denominator of -44\/9 and x\/21 - (-1682)\/140?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 5*c - 20, 10 = 4*w - 3*w + 5*c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638*k - 514*k - 18563 = 26365 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 16*h + 68. Let q(w) = 11*w + 69. Give 3*j(n) - 4*q(n).\nAnswer: 4*n - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -3 - -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -7 - 13. Suppose 0 = -2*c + 4*c - y. Suppose q + 3*s = 561 - 82, q - c*s - 499 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**4 + 4*g**3\/3 + 5*g**2\/2 + 5*g - 49. What is the remainder when c(-2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**2 - 6818*r - 335900 = 0.\nAnswer: -3359, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 219*g - 2973. Calculate the remainder when (12\/2)\/(2\/57) is divided by h(-13).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-312192)\/21951)\/(4\/27)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -24*p**5\/5 - 5*p**3\/6 + 47*p**2\/2 - 375*p. Find the second derivative of a(j) wrt j.\nAnswer: -576*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 11. Let q be u\/(4\/24*3). What is the units digit of 25\/(4*q\/16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x - 25. Let r be (-15)\/(105\/28) + 1. Let p be b(r). Which is bigger: -16 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -150 and 385.\nAnswer: -57750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u. Let x(t) = 162*t - 332*t - 118*t - 245*t - 69*t. Give d(x(n)).\nAnswer: -602*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18959451 or -18959453?\nAnswer: -18959453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*q = -124*q - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15811 and 6014?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c + 3. Let m be (-10)\/(-2) + (-1 - 0). Suppose -c*r + 8 = -m*v, -r + 2*r = v + 4. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/18 and -27\/4414.\nAnswer: 39726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 14) to base 11.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51336 and 52440.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 12*n**2 - 2*n - 22. Let y be m(-12). Suppose y*w + 96 = 18. Let z = 33 + w. Put z, 2, 0.2 in decreasing order.\nAnswer: 2, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 222 + -77644?\nAnswer: -77422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000848950436 to seven dps.\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 6*q**2 - 11*q + 54. Calculate the remainder when 47 is divided by z(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/529 + 60637\/9522. What is the common denominator of y and (-1836)\/(-1944)*16\/(-6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91904.375137 + 1884\nAnswer: 93788.375137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -148, -217, -286?\n\"Answer: -69*y - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 10, 10*s = 6*s + 3*w + 4491. List the prime factors of s.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)\/d**(-3\/2) assuming d is positive.\nAnswer: d**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t. Let f be p(-13). What is the first derivative of 9 - 3 - 39*d**2 + f*d**2 + 7*d**4 wrt d?\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2894296 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reeesxesek. Give prob of picking 1 k and 1 e.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143 times -1?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x = 32*x - 4. Is (x + 366\/12)*(22 + 0) a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*p + 115. Let a(v) = p*v**2 + 6 - 63*v**2 + 38*v**2 + 17*v. Calculate the remainder when 101 is divided by a(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 3*w**2 - 5*w. Calculate y(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.210116071 to 4 dps.\nAnswer: -5.2101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -116. Let w = o + -47. Solve 0*q = 4*q + w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -656, -2 in increasing order.\nAnswer: -656, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*g + 75 = 0, 2*i + 120*g - 118*g + 22 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 27*w = 20*w + 72 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 k when four letters picked without replacement from eikkeeekekkeie.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 963*n**3 - 496?\nAnswer: 2889*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 797\nAnswer: 2\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -7. Let v = 14 + r. Let f be (-2)\/(-3)*(-153)\/(-6). Calculate the highest common divisor of v and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49313, 49262, 49175, 49046, 48869?\n\"Answer: -o**3 - 12*o**2 - 8*o + 49334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 62.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*j + j + 6, -3*j = -5*h + 15. Solve h*f = f - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.011 - 0.9857. Let q = 0.0947 + h. Let d = -52 + 259\/5. What is the closest to -0.2 in d, -0.3, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 5:41 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**2\/3 + 963*n - 2890\/3 = 0.\nAnswer: -2890, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 63. Let t = -0.05 + 2.05. Which is the second biggest value? (a) t (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrroeeeerroerreerer. What is prob of picking 1 r and 2 e?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*1*(sqrt(847) - (sqrt(847) + 3))*6 + 2.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 4:43 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 652787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 17325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -7*h**6\/2 + 4*h**5 - 324*h**3 - 475. Find the third derivative of j(s) wrt s.\nAnswer: -1260*s**2 + 480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f - 1. Let p be l(-1). Suppose -p = g + 5. Is 3 a factor of 140\/18 - 2\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 735 + -572. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 11*z + 18 + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1586 and 8815417?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -218 - -134. Let l = -60 - c. Which is bigger: l or 23?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**3\/6 - 8*c + 143. Factor q(x).\nAnswer: (x - 4)*(x + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 18815.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - 38*q**2 + 80*q - 12. Calculate j(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + -7)*(0 + 0 + -1). Let w(q) = 5*q**2 - 8*q - 5. Is w(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w. Let z(p) be the second derivative of -p**6\/180 + 2*p**3\/3 + p. Let b(q) be the second derivative of z(q). Determine b(o(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 5:51 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 12:59 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.65844 millimeters in kilometers?\nAnswer: 0.00005265844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h. Let m be 32\/28 - 1\/7. Let w = m - -3. What is j(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**6\/360 - w**5\/12 + 25*w**4\/24 - 2*w**3 - 10*w. Let l(d) be the second derivative of r(d). Factor l(t).\nAnswer: (t - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 35 - 5 = 0. Calculate the remainder when (1 - 55\/35) + (438\/7 - 4) is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -9 + (10\/((-70)\/63) - -15) + -4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01949 rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*16\/(-12). What is the third biggest value in -2.4, -1\/4, n?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 30*s**2 - 785*s + 5850.\nAnswer: 5*(s - 10)*(s - 9)*(s + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3337, -6695, -10055, -13417, -16781, -20147?\n\"Answer: -j**2 - 3355*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -4 + (1 - 2). Calculate the common denominator of (-1 + 54)\/(q\/(-1)) and -119\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39527, 1, 3 in descending order.\nAnswer: 39527, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rroxrwrwrbow. What is prob of sequence brox?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 2:30 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o**2 - 4 + 2 + 2. Let c(i) = -i**2. Give a(c(m)).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/17, -4\/9, -54, -3, 0.4, 1\/9 in descending order.\nAnswer: 0.4, 6\/17, 1\/9, -4\/9, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*l - 5 = -217*l - 3*u, 4*u + 10 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 + 41*b - 55. Let a be n(19). Solve -3*o - a = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 3*r**3 + 4*r**3 + 169*r**2 + 354 - 337*r**2 + 170*r**2 in the form f + k*r + n*r**3 + l*r**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*f - 168 = 12*f. Let u be 2\/10 + 56\/20. Let i be u + (-20)\/(-2) + -3. Solve -f*s - s = i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 532 - 532. Suppose r = -36*c + 38*c - 44. Solve 2*y - 5*q + 22 = y, -3*y = -4*q + c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -10, 53, 214, 515, 998, 1705?\nAnswer: 2678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 196\nAnswer: 58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 7*q - 2. Let f be n(-6). Suppose 8*t + 32*t = 4*t + 108. Sort f, 25, t in decreasing order.\nAnswer: 25, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63.38179 + 3.63861. Let z = w - 67. What is z rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2119.3821 times 4?\nAnswer: 8477.5284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 34*t + 241. Let q be b(-25). Suppose -416*o - q = -424*o. Solve 0 = 4*u - 2*a - 24, 8 = o*u - 5*a - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14119.\nAnswer: 7, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2048363875?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/25)\/(3\/(-5))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/467 and 17\/2.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -136537*-12\nAnswer: 1638444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of (3536\/39)\/(-34)*-4998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 485?\nAnswer: -6\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3102438 grams?\nAnswer: 310.2438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6873.6467 to the nearest 100.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2, 0, -227, -5, -1 in decreasing order.\nAnswer: 18, 2, 0, -1, -5, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50119737 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.28 - 1.872934935.\nAnswer: -6.152934935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 7*u - 4. Let k be t(-8). Let q(m) = 3*m**2 - 5*m + 12. Let a(h) = -h**2 + 2*h - 4. Let s(v) = k*q(v) + 11*a(v). Give s(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 21*v - 128. Calculate s(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 937571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.35 + 0.25. Suppose -4*o - 21 = -5*o + 4*x, -4*x - 25 = -5*o. Let n = o + 0. Which is the nearest to v? (a) -2\/7 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1008) + -1))**2.\nAnswer: -24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 - 0 - (7 - 8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187 - 170.4. Let s = 17.028 - z. What is s rounded to 2 decimal places?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**8\/560 - 11*k**7\/35 + 112*k**6\/5 - 784*k**5 + 10976*k**4 + 614656*k**3\/5 + 1019*k**2. Let x(s) = 0. Calculate s.\nAnswer: -2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**2 - 2*c + 2. Let p be n(-2). Let v(y) = y**2 - 12*y + 22. Let k be v(2). Let d be (68\/(-28))\/(k\/p). Solve -3 = -4*f + d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 1) + 2\/1. Suppose -x + 1 = 3. Let w be (-1)\/(14\/k + x). Sort w, 0, 5.\nAnswer: w, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2\/153, 3, 433?\nAnswer: 433","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (57 - 53) + 6 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 + 17*s - 35\/2.\nAnswer: (s - 1)*(s + 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1249 times -0.18\nAnswer: -0.022482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*l**4\/23 - 4454*l**3\/23 + 190964*l**2\/23 + 195440*l\/23 = 0. What is l?\nAnswer: -1, 0, 698\/11, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -11. List the prime factors of a + ((-3)\/(-1))\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 8:12 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 17*a - 1 = 4*h, a = 5*h + 1. Suppose p + 4*j - 16040016 = 5*p, -p + 2*j - 4010008 = h. Round p to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -3\/13, 0.1, -18, 5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 726 + -722. Let l(z) be the third derivative of 0*z - 1\/30*z**6 - 1\/6*z**y + 1\/6*z**3 + 1\/10*z**5 + 0 - 8*z**2 + 1\/210*z**7. What is j in l(j) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. What is the nearest to 1 in j, -0.06, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(-37\/4)*(y**0\/y)**(-8\/9) assuming y is positive.\nAnswer: y**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - i = -3*i + 4, -7 = -2*o + i. Let t(x) = -o*x**2 - 6*x - 28*x**3 - 7 + 12*x**3 + 17*x**3. Suppose 2*p - 9 - 5 = 0. Give t(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 7115 = -4*f, 3*x - 4306 = -12*f + 7*f. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/9)\/(-14)*6\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*0.8.\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 237480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 178779 and 12.\nAnswer: 715116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (50 + -39 - (13 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 13301.\nAnswer: 7\/13301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/28 - 99\/7. Calculate the common denominator of 1*116\/k + 2 and 41\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 23*t + 175. Let y be n(29). Let k = 1 + 0. What is the greatest common factor of k and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/7 - (-7 + 3). Which is the nearest to 0.2? (a) -0.4 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdd when three letters picked without replacement from {h: 2, d: 2, x: 7}.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21674 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 201.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 2\/2 - (-152)\/4.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 7. Is -1 + (a\/2 - -260) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mttmxmt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**2 - 23*l - 77. Is k(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)*-6 - sqrt(68)*-1*-4)\/(((sqrt(288) - (sqrt(288)*2 + sqrt(288) + sqrt(288))) + sqrt(288))\/sqrt(8)).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44255 - -5310641\/120. Let m = i - 7\/15. Which is the nearest to 1? (a) 5 (b) m (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 12*o = -6566 - 2002. Calculate the smallest common multiple of o and 51.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**5 + 2*i**5 + 0*i**5 + (2*i**4 - 3*i**4 + 2*i**4)*(-i + i - i).\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53400842 = 10*f + 29009158. What is f rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -51. Let p be (-1 + t + 1)*(5 - 13). What is the remainder when 87 is divided by ((-54)\/p)\/(6\/16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 + 5*k**2 - 9*k + 3. Let p(z) = -z**3 - z. Let j(f) = -3*p(f) + x(f). Let v be j(-6). Solve v*n - 12 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*o**3*p - 49442*o**3*z**3 - 14*o**2*p*z**2 - 7*o**2*p + 5101*o*p*z**3 + o*p*z**2 wrt o?\nAnswer: -66*p - 296652*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -n - 5, -6 = 4*n - k + 14. Let o = n - -8. Find the third derivative of 25*u**4 - 25*u**4 - 3*u**5 + o*u**2 + u**2 wrt u.\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-204))\/(7\/4)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1001 = 127. Let w = c + -133. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1568196, 3136385, 4704574, 6272763?\n\"Answer: 1568189*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98633.17 kilograms to milligrams.\nAnswer: 98633170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45735*b - 9*b**2 - 22867*b - 1 - 22868*b + 1.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 50*a - 513 - 123 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-206)\/16 - -1 - (-1835)\/(-14680)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36422627303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 976 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhahaahiihhiaihiaihi. Give prob of picking 1 h and 1 a.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3 + 53817*h**2 + 22744566*h = 0.\nAnswer: -53391, -426, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/21 - 9\/27. Let u = 2.81 - 8.81. What is the smallest value in h, 0.1, u, 3\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -109726.33 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j = -81*j + 2771427 - 89955. Is 61 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**3 - 1. Let c be o(-1). Solve -3*j = -c*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 60.\nAnswer: 1, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxb when three letters picked without replacement from {w: 2, b: 1, a: 1, e: 5, x: 6}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807356 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2026 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 10:06 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -3.94. Let k = -0.06 + i. Sort 5, 1, k in decreasing order.\nAnswer: 5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 + 4.7. Let i = 3 + -5. Let r = i + h. What is the third biggest value in r, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5 - 19*f**4 - 18*f**3 + 14*f**2 + 21*f + 5 = 0 for f.\nAnswer: -5, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 121102002222?\nAnswer: 121102010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 5, -6, -7, 13, 0, 35 in descending order.\nAnswer: 35, 13, 5, 0, -6, -7, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72.88 + 77. Let i = 0.12 - u. Let h = -0.1 - 0. Put -5, h, i in increasing order.\nAnswer: -5, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 29. Suppose -2*v - 7 = 1. Let x be (120\/2)\/(v\/(-6)). What is the highest common factor of c and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 680 = 14*v - 4*v. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 18*f**2 - 17. Let b(x) = x**3 + 17*x**2 + x - 16. Let t(a) = 6*b(a) - 5*j(a). Let w be t(-11). What is the highest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (8 + 2\/(-1)). Suppose 4*c = 9*c + 85. Let g be 0 + c\/45 - 93\/(-155). Which is smaller: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*p**3 + 2761883 - 37*p - 2761883 + (0 - 2*p**2 + 0)*(2*p + 2*p - 2*p).\nAnswer: 16*p**3 - 37*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbhbhbbbbbbh. Give prob of sequence bbh.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -324*h**5 + 6906*h**4 + 29180*h**3 + 16738*h**2 + 300*h = 0.\nAnswer: -3, -2\/3, -1\/54, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-459)*-17*936\/(-16).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 52, -535\/4, -0.0702?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 12*d**3 + 42*d**2 + 4. Let j be o(-4). Let a = j - -160. Is a greater than 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -473e (base 15) to base 3.\nAnswer: -202202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 7*i - 2. Let x be j(-6). Suppose 4*n - 7564 = x*z, -z = -3*n + 4*z + 5677. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38279*u**2 + 38279*u**2 + 26884*u**3.\nAnswer: 26884*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(8*-5)*156\/(-13)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-380)\/(-285) + 87\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m - 3. Let y be j(-6). Calculate the least common multiple of 0 + y*(-12)\/9 and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -67*a**3 + 4*a**2 - 5*a - 3. Let q(c) = 68*c**3 - 3*c**2 + 4*c + 2. Calculate -3*g(s) - 4*q(s).\nAnswer: -71*s**3 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*sqrt(360)*-2)\/(3*(sqrt(405) + sqrt(405) + -1*sqrt(405) + sqrt(405))).\nAnswer: 4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*u + 69*u + 60*u - 251*u.\nAnswer: -42*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 42 = 2*f. Calculate the greatest common divisor of f and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*k = 152*k - 70521. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -1.8. Let u = -2 - p. Let q be 4\/2*((-195)\/(-35) + -6). Which is the third biggest value? (a) q (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49151341 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - q - 4*q)*(-7*q + q + 5*q) + (-q - 1 + 1)*(1 - 1 - q) + (-4*q + 2*q - q)*(3*q - 7*q + 3*q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3740*k + 33689. Give l(9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5562 >= 5721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*j - 77 = j, 9 = -3*j. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 5:33 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27 (b) 2\/5 (c) 2\/9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + -1*(sqrt(1573) + sqrt(1573) + 0 + sqrt(1573))*6 - (-3 + -4*6*(sqrt(1573) - (2 + sqrt(1573) - sqrt(1573))))))**2.\nAnswer: -21648*sqrt(13) + 233236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93.8 + 96.8. Let w be (-3)\/15 + 6\/(-70). Let s = 4 + -6. What is the third biggest value in s, w, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -55, 3, 2 in ascending order.\nAnswer: -55, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -36 (b) 4 (c) -15.1 (d) -3\/7 (e) 0.4 (f) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 2*y**2 + 4. Let k(r) = -1. Let a(v) = -4*k(v) - x(v). Let u(z) = -5*z**3 + 9*z**2 - z. Suppose 2*g + 1 = -3. Give g*u(b) + 9*a(b).\nAnswer: b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155769.05 + -155004.832961. Let d = 764.17 - n. Let p = d + 0.047. Round p to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(12) - (sqrt(108) + -1)) - (-6*5*(sqrt(12) + -1))**2.\nAnswer: -11694 + 3576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51285*z**4 - 2*z**3 - 3*z**2 + 7*z - 43587050 wrt z.\nAnswer: 205140*z**3 - 6*z**2 - 6*z + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/17))**45*l**9\/l*l**(4\/9))**(-13) assuming l is positive.\nAnswer: l**(-27326\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1262133, 2524258, 3786383, 5048508, 6310633, 7572758?\n\"Answer: 1262125*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 4*o - 2*o - o. Let c(i) = i**3 - 2*i**2 + i - 2. Let p be c(2). Let f(d) = 0 + p - 2*d. Give s(f(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 286 or 255?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + -1010100000110001?\nAnswer: -1010100000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i - 1. Solve -i = 2*o - 0*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -49. What is the third derivative of -l + 11*o**2 + 3 + 1 - 8*o**3 wrt o?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 6*w**2 + w + 6. Suppose -4*h + 32 = -n + 5*n, 0 = 3*h - 3. What is the remainder when m(6) is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80*f**4 + 1511*f**2 - 182166.\nAnswer: 320*f**3 + 3022*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3\/11 - 7154*d**2\/11 - 223760*d\/11 + 20992 = 0?\nAnswer: -32, 1, 3608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbbebla. What is prob of picking 3 b and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33.8 - 32.8. Which is the third biggest value? (a) 3\/7 (b) 40 (c) -3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*p**2*r**2 + 7*p**2 - 2*r**3 - 5*r + 11 wrt r?\nAnswer: -12*p**2*r - 6*r**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0839 + -373.0839. Let l = 373.1 + f. What is the second biggest value in 0.07, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/77 - 1266\/(-21). Calculate the greatest common factor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icteexe. Give prob of picking 1 t, 1 x, and 1 e.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + v - 2 = -5, -5*v + 24 = -3*r. Let a = 5 + r. Calculate the highest common divisor of a and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 144, 216, 288, 360, 432?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(528)\/sqrt(11) + (sqrt(96)\/sqrt(4))\/sqrt(8).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*24\/(-30)*9\/(-135)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 947551 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.5019588 rounded to 1 dp?\nAnswer: 75.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-6) - (32 - 13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, y: 6, p: 1, t: 3}. What is prob of sequence bb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x - 7 - 18*x - 3*x**2 + 4*x**2 + 3*x - 21.\nAnswer: x**2 - 4*x - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 176671228*r**3 - 507*r**2 - 2*r + 64805.\nAnswer: 1060027368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*y - 7*b - 375, 3*y + 4*b - 190 = 0. Suppose 2*d - y = -3*d. Suppose -10 - d = -6*x. What is the least common multiple of 14 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79026851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2023.94 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*v - 65 = 0, p - 7*v + 65 = -2*v. Let j = -59 - p. Let b(i) = -i**3 + 5*i**2 + 3*i + 7. Give b(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 - 77. What is the closest to 0.1 in 6, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(13) - ((sqrt(13) - (sqrt(104)\/sqrt(8) + sqrt(13))) + sqrt(13) + 4)))**2 + 0.\nAnswer: -128*sqrt(13) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.28799582 rounded to 3 dps?\nAnswer: -72.288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/12698 and 81\/1396780?\nAnswer: 1396780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -7*x - 11\/2*x**2 + 1. What is the units digit of t(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppppp. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 5. Let r be n(20). Suppose -8 = r*l - 27*l. Solve k + 5 = 4*u, -l*u + 5*k = -9*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 8:41 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-one halves of a hour?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 4*p - 9*p + 3*p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/1065465 and 101\/30.\nAnswer: 2130930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13126505 (base 7) to base 6\nAnswer: -41421235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7799 and 192139.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*((-328)\/(-12))\/(20\/15). Let s be (-3)\/(-2)*234\/9. Which is bigger: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 1. Suppose 0 = -5*d - 3 + 13. Let m be f(d). Which is the third smallest value? (a) -0.5 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.6 - 1.56.\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30 + 1154*l**2 + 17*l - 24 + 12*l**3 - 2247*l**2 + 1123*l**2 + 56*l wrt l?\nAnswer: 72*l + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) -523\/8 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002232796 rounded to seven decimal places?\nAnswer: 0.0002233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 192*o - 1718, -7*p - 17 = -11*p + 130*o - 129*o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46)\/(-10) - (-4)\/10. Let z(g) = -4*g + j*g + 5*g - 3*g. Let b(a) = 4*a**2. Determine b(z(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.7 + 36.1. Which is the nearest to 1.9? (a) -2\/7 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 67*p + 2982. What is q(8)?\nAnswer: 3518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002266 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4006637 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 11*i + 3. Suppose 3*z = 2*z - 5. Let w(d) = 7*d + 2. Let n(m) = z*p(m) + 8*w(m). Let k be (-4)\/10 + (-78)\/30. What is n(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + sqrt(931) + 2)*5)**2.\nAnswer: 630*sqrt(19) + 23356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2067\/(-4876) + (-16)\/(-92). Let p = 51.945 - -0.055. Which is the nearest to s? (a) -1\/6 (b) 0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1295 * 5.\nAnswer: 6475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 - 418*v.\nAnswer: -v*(v + 2090)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -76 in -1\/8, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 6 = -j, 1390*j + 60 = 5*h + 23*h + 1400*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 - 2 - 2) + 9 + 102. What is the common denominator of 13\/12 and (-4)\/(-4) - t\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d. Let h(m) = 4*m**2 + 497. What is w(h(n))?\nAnswer: 4*n**2 + 497","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9744 + -0.0256. Sort 2\/7, o, -3, -1.8 in descending order.\nAnswer: 2\/7, o, -1.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 3968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o - 6. Let x(h) = -h**2 - 4*h - 2. Let u be x(-5). Let s = u + 0. What is the remainder when w(s) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -2*g, 3*q + 3 = -2*g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431396 (base 10) to base 5.\nAnswer: 102301041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 2611 = -9*m + 46. Calculate the highest common divisor of 1177 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 10*l + 13. Let c be z(9). Suppose 0*a - 3*a = -2*t - 22, c*a - t = 21. Are 3 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i = -s + 25, -5*i - 20 = 0. Is s smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4931 - 4489. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 13) to base 11\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22175 is divided by 7390.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -5*p**4\/4 - 100*p**3\/3 + 5*p**2\/2 + 100*p + 922. Determine f so that w(f) = 0.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 248.08 + -190.08. Which is smaller: 69 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.3 + -38.3. Let a = 32.2 + s. What is the third biggest value in 0, -6, a?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 22*m - 4 = -2*f, 2*f + 3*m - 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}